<div>A ball is thrown straight up from a point 2 m above the ground. The ball reaches a maximum height of 3 m above its starting point and then falls 5 m to the ground. When the ball strikes the ground, what is its displacement from its starting point?</div><div><div><div><br></div></div></div>2 m below <div>Of the two following categories, which are scalar (meaning magnitude only)?</div><div>displacement, distance</div>distance&nbsp; <div>A quantity that is ignorant of direction is referred to as a&nbsp;</div>scalar quantity&nbsp; <div>A quantity that is conscious of direction is referred to as a&nbsp;</div>vector quantity&nbsp; <div>An object can be moving for 10 seconds and still have zero displacement.</div><div><div><div><br></div></div></div><div>true or false</div>true "<img alt=""Screen Shot 2019-05-29 at 10.20.37 AM.png"" src=""download-2715d8c6b75374eb46eff9c6e30b1c97e566ea6d.png"" width=""210""><img alt=""Screen Shot 2019-05-29 at 10.20.42 AM.png"" src=""download-133bc830dcc3e4d5b0aee28bc964c910507ce66c.png"" width=""190""><img alt=""Screen Shot 2019-05-29 at 10.20.47 AM.png"" src=""download-ec790cd924e2362509352fbb4face3c43d7c830a.png"" width=""196""><br><br><div><div>Suppose that you run along three different paths from location A to location B. Along which path(s) would your distance traveled be different from your displacement?</div></div><div><div><div><br></div></div></div>"1 and 3 "<img alt=""Screen Shot 2019-05-29 at 10.25.11 AM.png"" src=""download-22eb904b35f96220522f0c28ff9fd1f3346f585c.png""><br><br><div><div>You run from your house to a friend's house that is 3 miles away. You then walk home. What distance did your travel?</div></div><div><div><div><br></div></div></div>"6 miles "<img alt=""Screen Shot 2019-05-29 at 10.25.11 AM.png"" src=""download-22eb904b35f96220522f0c28ff9fd1f3346f585c.png""><br><br><div><div>You run from your house to a friend's house that is 3 miles away. You then walk home. What was the displacement for the entire trip?</div></div><div><div><div><br></div></div></div>"0 miles "<img alt=""Screen Shot 2019-05-29 at 10.30.52 AM.png"" src=""download-b6ce38c6b047e9362412f7a70d46c745a7913c5f.png""><br><br><div><div>A person starts at A, walks along the bold path and finishes at B. Each square is 1 km along its edge. The person walks a distance of _________ km.</div></div><div><div><div><br></div></div></div>"31 "<img alt=""Screen Shot 2019-05-29 at 10.30.52 AM.png"" src=""download-b6ce38c6b047e9362412f7a70d46c745a7913c5f.png""><br><br><div><div>A person starts at A, walks along the bold path and finishes at B. Each square is 1 km along its edge. This person has a displacement of&nbsp;</div></div><div><div><div><br></div></div></div>"3 km, East "<img alt=""Screen Shot 2019-05-29 at 10.45.48 AM.png"" src=""download-532b0cac9628449da1db715ef40e6cbadf37152e.png""><br><br><div><div>A cross-country skier moves from location A to location B to location C to location D. Each leg of the back-and-forth motion takes 1 minute to complete; the total time is 3 minutes. (The unit is meters.) What is the distance traveled by the skier during the three minutes of recreation?</div></div><div><div><div><br></div></div></div>"360 m "<img alt=""Screen Shot 2019-05-29 at 10.45.48 AM.png"" src=""download-532b0cac9628449da1db715ef40e6cbadf37152e.png""><br><br><div><div>A cross-country skier moves from location A to location B to location C to location D. Each leg of the back-and-forth motion takes 1 minute to complete; the total time is 3 minutes. (The unit is meters.) What is the net displacement of the skier during the three minutes of recreation?</div></div><div><div><div><br></div></div></div>"120 m, E "<img alt=""Screen Shot 2019-05-29 at 10.45.48 AM.png"" src=""download-532b0cac9628449da1db715ef40e6cbadf37152e.png""><br><br><div><div>A cross-country skier moves from location A to location B to location C to location D. Each leg of the back-and-forth motion takes 1 minute to complete; the total time is 3 minutes. (The unit is meters.) What is the displacement during the second minute (from 1 min. to 2 min.)?</div></div><div><div><div><br></div></div></div>"120 m, W "<img alt=""Screen Shot 2019-05-29 at 10.45.48 AM.png"" src=""download-532b0cac9628449da1db715ef40e6cbadf37152e.png""><br><br><div><div>A cross-country skier moves from location A to location B to location C to location D. Each leg of the back-and-forth motion takes 1 minute to complete; the total time is 3 minutes. (The unit is meters.) What is the displacement during the third minute (from 2 min. to 3 min.)?</div></div><div><div><div><br></div></div></div>"80 m, E <div>Average Speed is&nbsp;</div><div><div><div><br></div></div></div>how fast <div>Mrs. Uzzi is late for work! She leaves her house at 7:00 am and travels at a rate of 40.0 mph for 3.0 minutes. She stops at a red light for 5.0 minutes! Then she proceeds to Westminster High School at a speed of 35 mph for 15 minutes. What was her average speed for the whole trip?</div><div><div><div><br></div></div></div>28 mph <div>Speed is a ___________ quantity and velocity is a _____________ quantity.</div><div><div><div><br></div></div></div>scalar, vector "<img alt=""Screen Shot 2019-05-29 at 10.20.37 AM.png"" src=""download-2715d8c6b75374eb46eff9c6e30b1c97e566ea6d.png""><img alt=""Screen Shot 2019-05-29 at 10.20.42 AM.png"" src=""download-133bc830dcc3e4d5b0aee28bc964c910507ce66c.png"" width=""170""><img alt=""Screen Shot 2019-05-29 at 10.20.47 AM.png"" src=""download-ec790cd924e2362509352fbb4face3c43d7c830a.png"" width=""176""><br><br><div><div>Suppose you are considering 3 different paths (1, 2, and 3) between the same two locations. Along which path would you have to move with the greatest speed to arrive at the destination in the same amount of time?</div></div><div><div><div><br></div></div></div>"3 <div>Is it possible for an object to move for 10 seconds at a high speed and end up with an average velocity of zero?</div><div><div><div><br></div></div></div>true&nbsp; "<img alt=""Screen Shot 2019-06-13 at 8.42.36 AM.png"" src=""download-6c35ae67141c0225e7b4fc5b076e1eba5f258af1.png""><br><br><div><div>Suppose that you run for 10 seconds along three different paths. Rank the three paths from lowest average speed to the greatest average speed.</div></div><div><div><div><br></div></div></div>"B, C, A "<img alt=""Screen Shot 2019-06-13 at 8.42.36 AM.png"" src=""download-6c35ae67141c0225e7b4fc5b076e1eba5f258af1.png""><br><br><div><div>Suppose that your run for 10 seconds along three different paths. Rank the three paths from the lowest average velocity to the greatest average velocity.</div></div><div><div><div><br></div></div></div>"A, B=C "<img alt=""Screen Shot 2019-06-13 at 8.48.00 AM.png"" src=""download-eac34fa7ed1945941b8479099d2aeb07ab324204.png""><br><br><div><div>You run from your house to a friend's house that is 3 miles away in 30 minutes. You then immediately walk home, taking 1 hour on your return trip. What was the average speed (in mi/hr) for the entire trip?</div></div><div><div><div><br></div></div></div>"4.0 mi/hr "<img alt=""Screen Shot 2019-06-13 at 8.48.00 AM.png"" src=""download-eac34fa7ed1945941b8479099d2aeb07ab324204.png""><br><br><div><div>You run from your house to a friend's house that is 3 miles away in 30 minutes. You then immediately walk home, taking 1 hour on your return trip. What was the average velocity (in mi/hr) for the entire trip?</div></div><div><div><div><br></div></div></div>"0 mi/hr "<img alt=""Screen Shot 2019-06-13 at 8.56.25 AM.png"" src=""download-80b50c13ec940e656329e112b7dcfe162ff15dae.png""><br><br><div><div>A cross-country skier moves from location A to location B to location C to location D. Each leg of the back-and-forth motion takes 1 minute to complete; the total time is 3 minutes. The unit of length is meters. Calculate the average speed (in m/min) of the skier during the three minutes of recreation.</div></div><div><div><div><br></div></div></div>"120 m/min "<img alt=""Screen Shot 2019-06-13 at 8.56.25 AM.png"" src=""download-80b50c13ec940e656329e112b7dcfe162ff15dae.png""><br><br><div><div>A cross-country skier moves from location A to location B to location C to location D. Each leg of the back-and-forth motion takes 1 minute to complete; the total time is 3 minutes. The unit of length is meters. Calculate the average velocity (in m/min) of the skier during the three minutes of recreation.</div></div><div><div><div><br></div></div></div>"40 m/min, East "<img alt=""Screen Shot 2019-06-13 at 9.23.02 AM.png"" src=""download-dd092cc2c96e2457ff682fa2cb18439c8d7e6971.png""><br><br><div><div>The graph above shows Donovan Bailey's split times for his 100 meter record breaking run in the Atlanta Olympics in 1996. At what point did he experience his greatest average speed (in m/s) for a 10 meter interval?</div></div><div><div><div><br></div></div></div>"between 5 - 6 seconds "<img alt=""Screen Shot 2019-06-13 at 9.23.02 AM.png"" src=""download-dd092cc2c96e2457ff682fa2cb18439c8d7e6971.png""><br><br><div><div>The graph above shows Donovan Bailey's split times for his 100 meter record breaking run in the Atlanta Olympics in 1996. What was his average speed (in m/s) for the overall race?</div></div><div><div><div><br></div></div></div>"10 m/s <div>The fastest trains are magnetically levitated above the rails to avoid friction (and therefore called MagLev trains...cool, huh?). The fastest trains travel about 155 miles in a half an hour. What is their average speed in miles/hour?</div><div><div><div><br></div></div></div>310 miles/hour <div>A hummingbird averages a speed of about 28 miles/hour (Cool facts: They visit up to 1000 flowers per day, and reach maximum speed while diving...up to 100 miles/hour!). Ruby-throated hummingbirds take a 2000 mile journey when they migrate, including a non-stop trip across Gulf of Mexico in which they fly for 18 hours straight! Determine how far the hummingbird travels during its trip across the Gulf of Mexico assuming the hummingbird travels at its average speed.</div><div><div><div><br></div></div></div>504 miles "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br><div><div>From the graph, what is the displacement between 2 and 8 seconds?</div></div><div><div><div><br></div></div></div>"6 m&nbsp; "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br><div><div>From the graph, what is the total distance traveled between the time of 2 seconds to 12 seconds?</div></div><div><div><div><br></div></div></div>"10 m "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br><div><div>From the graph, what is the total displacement between 0 seconds and 20 seconds?</div></div><div><div><div><br></div></div></div>"0 m "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br><div><div>From the graph, what is the total distance traveled between 0 seconds to 20 seconds?</div></div><div><div><div><br></div></div></div>"24 m "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br><div><div>From the graph, what is the average speed between 2 seconds and 12 seconds?</div></div><div><div><div><br></div></div></div>"1.0 m/s "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br><div><div>From the graph, what is the average velocity from 2 seconds to 12 seconds?</div></div><div><div><div><br></div></div></div>"0.2 m/s "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br>What is the average speed of the entire graph?"1.2 m/s "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br><div><div>What is the average velocity of the entire graph?</div></div><div><div><div><br></div></div></div>"0.0 m/s "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br>What is the meaning of ""slope"" in the graph?"velocity&nbsp; "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br><div><div>What is the unit for slope in the graph above?</div></div><div><div><div><br></div></div></div>"m/s "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br>What is the title of the graph?"position vs time&nbsp; "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br><div><div>Between what times on the graph are the speed and velocity constant?</div></div><div><div><div><br></div></div></div>"0-4 seconds, 4-8 seconds, and 8-20 seconds. "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br><div><div>What is the average speed between 8 seconds to 20 seconds?</div></div><div><div><div><br></div></div></div>"1.0 m/s "<img alt=""Screen Shot 2019-05-09 at 6.20.18 AM.png"" src=""download-fe3b6557244f1038c82e21f9337a0dd427fd1e30.png""><br><br><div><div>What is the average velocity between 8 seconds and 20 seconds?</div></div><div><div><div><br></div></div></div>"- 1.0 m/s "<img alt=""Screen Shot 2019-05-26 at 9.02.59 PM.png"" src=""download-3331481a3d20b0e6f70a3469903ed6e33022d82a.png""><br><br><div><div>From the diagram above, what is the total distance traveled from points A to D?</div></div><div><div><div><br></div></div></div>"60 miles "<img alt=""Screen Shot 2019-05-26 at 9.02.59 PM.png"" src=""download-3331481a3d20b0e6f70a3469903ed6e33022d82a.png""><br><br><div><div>From the diagram above, what is the total displacement between points A and D</div></div><div><div><div><br></div></div></div>"22 miles "<img alt=""Screen Shot 2019-05-26 at 9.11.42 PM.png"" src=""download-3bdc06edcb4244592def9ab7cf44d72ee3b750d1.png""><br><br><div><div>What is the total distance traveled from points A through G?</div></div><div><div><div><br></div></div></div>"21 m&nbsp; "<img alt=""Screen Shot 2019-05-26 at 9.11.42 PM.png"" src=""download-3bdc06edcb4244592def9ab7cf44d72ee3b750d1.png""><br><br><div><div>What is the total displacement from points A through G?</div></div><div><div><div><br></div></div></div>"5 m&nbsp; "<img alt=""Screen Shot 2019-05-26 at 9.11.42 PM.png"" src=""download-3bdc06edcb4244592def9ab7cf44d72ee3b750d1.png""><br><br><div><div>According to the graph, what is the position of the object at point D?</div></div><div><div><div><br></div></div></div>"- 2 m "<img alt=""Screen Shot 2019-05-26 at 9.11.42 PM.png"" src=""download-3bdc06edcb4244592def9ab7cf44d72ee3b750d1.png""><br><br><div><div>From the graph, what direction is the object moving in from points F through G?</div></div><div><div><div><br></div></div></div>"negative "<img alt=""Screen Shot 2019-05-26 at 9.11.42 PM.png"" src=""download-3bdc06edcb4244592def9ab7cf44d72ee3b750d1.png""><br><br><div><div>From the graph, what direction is the object moving in from points C through D?</div></div><div><div><div><br></div></div></div>"no direction <div>What is the difference between average speed and average velocity?</div>&nbsp;Average speed is magnitude only, while average velocity has a magnitude and a direction. <div>An object started from rest at a position of - 5 m and moved to the right for 10 m, and then moved to the left for 10 m in 25 seconds. What is the final position of the object?</div><div><div><div><br></div></div></div>- 5 m <div>An object started from rest at a position of - 5 m and moved to the right for 10 m, and then moved to the left for 10 m in 25 seconds. What is the average speed of the object?</div><div><div><div><br></div></div></div>0.8 m/s <div>An object started from rest at a position of - 5 m and moved to the right for 10 m, and then moved to the left for 10 m in 25 seconds. What is the average velocity of the object?</div><div><div><div><br></div></div></div>0 m/s "<div><img alt=""Screen Shot 2019-05-27 at 11.49.47 AM.png"" src=""download-d6055584b15696283dbfc0ed21d76ef5f5b8461d.png""></div><div>Based on the graph, what is the average speed of the object between 10 seconds and 15 seconds?</div>"0 m/s "<div><img alt=""Screen Shot 2019-05-27 at 11.49.47 AM.png"" src=""download-d6055584b15696283dbfc0ed21d76ef5f5b8461d.png""></div><div><br></div><div>Based on the graph, what is the average velocity of the object between 0 seconds and 55 seconds?</div>"0 m/s "<div><img alt=""Screen Shot 2019-05-27 at 11.49.47 AM.png"" src=""download-d6055584b15696283dbfc0ed21d76ef5f5b8461d.png""></div><div><br></div><div>What is the average slope of the graph between 0 seconds and 20 seconds?</div>"2 m/s "<div><img alt=""Screen Shot 2019-05-27 at 11.49.47 AM.png"" src=""download-d6055584b15696283dbfc0ed21d76ef5f5b8461d.png""></div><div><br></div><div>What is the slope, average speed, and average velocity between 20 seconds and 40 seconds?</div>"- 4 m/s, 4 m/s, - 4 m/s <div><div>Accelerating objects are objects that are changing their velocity. Name the three controls on an automobile that cause it to accelerate.</div></div><div><div><div><br></div></div></div>brakes, gas pedal, steering wheel <div>An object is accelerating if it is moving ____________. Choose all that apply. There may be more than one answer.</div><div><div><div><br></div></div></div>in a circle, with changing speed <div>If an object is NOT accelerating, then one knows for sure that it is ________.</div><div><div><div><br></div></div></div>maintaining a constant velocity&nbsp; <div>An object with an acceleration of 10 m/s<sup>2</sup>&nbsp;will __________ assuming it starts from rest. There may be more than one answer.</div><div><div><div><br></div></div></div><div>have a velocity of 100 m/s after 10 s.<div><br></div><div>change its velocity by 10 m/s in 1 s.&nbsp;<br></div></div><div><div><div><div><div><div><div></div></div><div></div></div><div></div></div><div></div></div><div></div></div><div><br></div></div> "Ima Speedin puts the pedal to the metal and increases her speed as follows: 0 mi/hr at 0 seconds; 10 mi/hr at 1 second; 20 mi/hr at 2 seconds; 30 mi/hr at 3 seconds; and 40 mi/hr at 4 seconds. What is the average acceleration of the Ima's car? Remember average acceleration =&nbsp;Δvelocity/Δtime"10 mi / hr / s "<div>Mrs. Uzzi's (Imaginary) Porsche accelerates from 0 to 60 mph in 4 seconds. Its acceleration is&nbsp;</div><div><div><div><br></div></div></div>"15 mph/s <div>A car speeds up from rest to +16 m/s in 4 s. Calculate the acceleration.</div><div><div><div><br></div></div></div>4 m/s/s <div>A car slows down from + 32 m/s to +8m/s in 4 s. Calculate the acceleration.</div><div><div><div><br></div></div></div>- 6 m/s/s <div>What is the formula for average acceleration?</div><div><div><div><br></div></div></div>change in velocity / change in time <div>What is the SI unit for acceleration</div><div><div><div><br></div></div></div>m/s^2 <div>Isaac Newton accelerates his bike from rest to a velocity of -12 m/s in 25 seconds. What is the acceleration of Isaac’s bike? Is the bike speeding up or slowing down?</div><div><div><div><br></div></div></div><div><div>&nbsp;-0.48 m/s<sup>2</sup>; speeding up</div><div></div></div><div></div><div><br></div> <div><div>Albert Einstein was driving a car with an initial speed of 25 mph to the left. While braking, he came to a stop in a time of 2.7 seconds. What was the magnitude of the deceleration of the car in mph/s? Assume right is positive.</div></div><div><div><div><br></div></div></div>9.26 mph/s <div>What is the meaning of the slope of a velocity vs. time graph?</div>acceleration <div>What is the meaning of the area under a curve of a velocity vs. time graph?</div><div><div><div><br></div></div></div>displacement "<div><img alt=""Screen Shot 2019-06-21 at 8.24.04 AM.png"" src=""download-6e285563e3491d5c6e5ac5ed422ade3f7f98e05c.png""></div><div>What is the velocity of the object at 4 seconds?</div>"- 2 m/s "<img alt=""Screen Shot 2019-06-21 at 8.24.04 AM.png"" src=""download-6e285563e3491d5c6e5ac5ed422ade3f7f98e05c.png""><br><br>At which time (4 or 5 seconds) is the object in the graph traveling the fastest?"5 seconds&nbsp; "<div><img alt=""Screen Shot 2019-06-21 at 8.24.04 AM.png"" src=""download-6e285563e3491d5c6e5ac5ed422ade3f7f98e05c.png""></div><div><br></div><div>What is the average acceleration from 0 seconds to 20 seconds?</div>"0 m/s^2 "<div><img alt=""Screen Shot 2019-06-21 at 8.24.04 AM.png"" src=""download-6e285563e3491d5c6e5ac5ed422ade3f7f98e05c.png""></div><div><br></div><div>What is the average acceleration from 6 seconds to 20 seconds?</div>"0 m/s^2 "<div><img alt=""Screen Shot 2019-06-21 at 8.24.04 AM.png"" src=""download-6e285563e3491d5c6e5ac5ed422ade3f7f98e05c.png""></div><div><br></div><div>What is the average acceleration from 7.00 seconds to 20.0 seconds?</div>"-0.15 m/s^2 "<div><img alt=""Screen Shot 2019-06-21 at 8.24.04 AM.png"" src=""download-6e285563e3491d5c6e5ac5ed422ade3f7f98e05c.png""></div><div><br></div><div>What is the displacement of the object from 7 seconds to 12 seconds?</div>"10 m "<div><img alt=""Screen Shot 2019-06-21 at 8.24.04 AM.png"" src=""download-6e285563e3491d5c6e5ac5ed422ade3f7f98e05c.png""></div><div><br></div><div>What is the distance traveled from 0 seconds to 12 seconds?</div>"17 m&nbsp; "<div><img alt=""Screen Shot 2019-06-21 at 8.24.04 AM.png"" src=""download-6e285563e3491d5c6e5ac5ed422ade3f7f98e05c.png""></div><div><br></div><div>During what time intervals is the acceleration 0 m/s<sup>2</sup>?</div>"0-2 s, 7-12 s, 16-18 s, 19-20 s <div>An airplane accelerates down a run-way at 3.20 m/s<sup>2&nbsp;</sup>for 32.8 s until it finally lifts off the ground.</div><div><br></div><div>Determine the distance traveled before take-off.</div>1720 m <div>A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.</div><div><div><div><br></div></div></div>11.2 m/s^2 <div>A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s<sup>2</sup>. Determine the time for the feather to fall to the surface of the moon.</div><div><div><div><br></div></div></div>1.29 sec <div>A bullet leaves a rifle with a muzzle velocity of 221 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 0.840 m. What is the accleration? Hint: use v<sub>f</sub><sup>2</sup>&nbsp;= v<sub>i</sub><sup>2</sup>&nbsp;+2ad. Answers are rounded to 3 significant figures.</div><div><div><div><br></div></div></div>29,100 m/s^2 <div>An engineer is designing a runway for an airport. Several planes will use the runway and the engineer must design it so that it is long enough for the largest planes to become airborne before the runway ends. If the largest plane accelerates at 3.30 m/s<sup>2</sup>&nbsp;and has a takeoff speed of 88.0 m/s, then what is the minimum allowed length for the runway? Hint: v<sub>i</sub>&nbsp;= 0 m/s</div><div><div><div><br></div></div></div>1170 m <div>A student drives 4.8-km to school and averages a speed of 22.6 m/s. On the return trip home, the student travels with an average speed of 16.8 m/s over the same distance. What is the average speed (in m/s) of the student for the two-way trip? Make sure the units agree before solving the problem! We do not know if the acceleration is uniform. You will need to find the total time before finding the average speed for the two way trip.</div><div><div><div><br></div></div></div>19.3 m/s "<img alt=""Screen Shot 2019-06-20 at 10.34.41 AM.png"" src=""download-a4e633033bc22c5bb8c9a2ca0a3e4ae6fa3b7af2.png"" width=""355""><br><br><div>A rock is dropped from a rest position at the top of a cliff and free falls to the valley below (Refer to the diagram above).&nbsp; Assuming negligible air resistance, use kinematic equations to determine the speedometer reading after the rock has fallen for 5 seconds. Remember a = g = 10 m/s<sup>2</sup>&nbsp;</div><br>"50 m/s "<img alt=""Screen Shot 2019-06-20 at 10.34.41 AM.png"" src=""download-a4e633033bc22c5bb8c9a2ca0a3e4ae6fa3b7af2.png"" width=""259""><br><br><div><div>Based on the diagram above and assuming negligible air resistance, at which of the listed times is the acceleration the greatest? There may be more than one answer.</div></div><div><div><div><br></div></div></div>"the acceleration is the same for each second&nbsp; "<img alt=""Screen Shot 2019-06-20 at 10.34.41 AM.png"" src=""download-a4e633033bc22c5bb8c9a2ca0a3e4ae6fa3b7af2.png"" width=""224""><br><br><div><div>Based on the diagram above, and assuming no air resistance, at which listed times is the speed the greatest? There may be more than one answer.</div></div><div><div><div><br></div></div></div>"5 s <div><div>If the falling time of a free-falling object is doubled, the distance fallen increases by a factor of ______________.&nbsp;</div></div><div><div><div><br></div></div></div>4 "<img alt=""Screen Shot 2019-06-20 at 10.35.06 AM.png"" src=""download-f9df1c042c05eb02d3ceaf0c8d8d360cc02cd850.png"" width=""162""><br><br>Miss E. deWater, the former platform diver of the Ringling Brothers'<br>Circus, dives from a 20.0-meter high platform into a shallow bucket of<br>water. What is the velocity of Miss E. deWater the moment she lands in the bucket? Use g = 10 m/s<sup>2</sup>"20 m/s "<img alt=""Screen Shot 2019-06-20 at 10.35.06 AM.png"" src=""download-f9df1c042c05eb02d3ceaf0c8d8d360cc02cd850.png"" width=""169""><br><br><div><div>How long does it take Miss E. deWater to reach the bucket 20 meters below her jump off point? Use g = 10 m/s<sup>2</sup></div></div><div><div><div><br></div></div></div>"2 sec "<div>Michael Jordan was said to have a hang-time of 3.00 seconds (at least according to a popular NIKE commercial). Use kinematic equations to determine the height to which MJ could leap if he was wearing NIKE shoes and had a hang-time of 3.00 seconds. Use g = 10 m/s<sup>2</sup>&nbsp;Hint: v<sub>f</sub>=0 m/s when t = 1.50 sec (half of the total time in ""air"")</div><div><div><div><br></div></div></div>"11.3 m "<b><img alt=""Image result for position vs. time graph"" src=""okegdDtcQJKEil7ZsSFEr3Lh5_u2hxwbKgPC9SjEOzTuphFzEJXJjwg1jV0BlPNSJ2mU1OZn5HCXUl2wuNEnALhJ53cd0_HNXzYxvesPDzNlpQpPEdt.png""><br><br></b><b><div><span style=""font-weight: 400;"">a. From the graph, what is the displacement of the object from 0 seconds to 40&nbsp; seconds?</span></div></b><br>""<b><div><span style=""font-weight: 400;"">𝛥x = x</span><span style=""font-weight: 400;"">40</span><span style=""font-weight: 400;""> - x</span><span style=""font-weight: 400;"">0</span><span style=""font-weight: 400;""> = -40 m - 0 m = -40 m</span></div></b><br>" "<b><img alt=""Image result for position vs. time graph"" src=""okegdDtcQJKEil7ZsSFEr3Lh5_u2hxwbKgPC9SjEOzTuphFzEJXJjwg1jV0BlPNSJ2mU1OZn5HCXUl2wuNEnALhJ53cd0_HNXzYxvesPDzNlpQpPEdt.png""><br><br></b><b><div><span style=""font-weight: 400;"">b. What is the total distance traveled from 0 seconds to 40 seconds?</span></div></b><br>""<b><div><span style=""font-weight: 400;"">𝛴d = 60 + 0 + 100&nbsp; = 160 m</span></div></b><br>" "<b><img alt=""Image result for position vs. time graph"" src=""sh6lmDe9gE9OoK5XiSrLJU5zpXNg_r_Uv8C9xfJLadCHfhBEKzXZJQToVyt-ijgaFiftxOEZ8o6-CRlpjd_b_HWEgzMba8fDeUV5NBRNENI-iHu24Zl.png""><br></b><br><b><div><span style=""font-weight: 400;"">a. What is the slope of the graph between 0 seconds to 10 seconds?&nbsp;</span></div></b><br>"+ 6 m/s "<b><img alt=""Image result for position vs. time graph"" src=""sh6lmDe9gE9OoK5XiSrLJU5zpXNg_r_Uv8C9xfJLadCHfhBEKzXZJQToVyt-ijgaFiftxOEZ8o6-CRlpjd_b_HWEgzMba8fDeUV5NBRNENI-iHu24Zl.png""><br></b><br><b><div><span style=""font-weight: 400;"">b.What is the average velocity from 0 seconds to 10 seconds?&nbsp;</span></div></b><br>"+ 6 m/s "<b><img alt=""Image result for position vs. time graph"" src=""sh6lmDe9gE9OoK5XiSrLJU5zpXNg_r_Uv8C9xfJLadCHfhBEKzXZJQToVyt-ijgaFiftxOEZ8o6-CRlpjd_b_HWEgzMba8fDeUV5NBRNENI-iHu24Zl.png""><br></b><br><b><div><span style=""font-weight: 400;"">c.What is the average velocity from 0 seconds to 40 seconds?</span></div></b><br>""<b><div><span style=""font-weight: 400;"">(-40 m - 0 m)/(40 s - 0 s) = -1 m/s</span></div></b><br>" "<b><img alt=""Image result for position vs. time graph"" src=""sh6lmDe9gE9OoK5XiSrLJU5zpXNg_r_Uv8C9xfJLadCHfhBEKzXZJQToVyt-ijgaFiftxOEZ8o6-CRlpjd_b_HWEgzMba8fDeUV5NBRNENI-iHu24Zl.png""><br></b><br><b><div><span style=""font-weight: 400;"">d.What is the average speed from 0 seconds to 40 seconds?</span></div></b><br>""<b><div><span style=""font-weight: 400;"">(60 m + 0 m + 100 m)/40 sec&nbsp;</span></div><div><span style=""font-weight: 400;"">= 160 m/40 s = 4 m/s</span></div></b><br>" "<b><div><span style=""font-weight: 400;"">A dog is chasing a cat. The dog is running at a constant velocity of 3 mph and the cat is running in the same direction at a constant velocity of 1 mph. If the original distance between the dog and cat is 10 m, how long will it take in hours for the dog to catch the cat?</span></div></b><br>""<b><div><span style=""font-weight: 400;"">G: The dog is running at a constant velocity of 2 mph relative to the cat (3 mph - 1 mph); v</span><span style=""font-weight: 400;"">dog</span><span style=""font-weight: 400;""> = 2 mph, 𝛥x = 10 m(.000621 mi/1 m) = .00621 mi</span></div><div><span style=""font-weight: 400;"">U: 𝛥t = ?</span></div><div><span style=""font-weight: 400;"">E:&nbsp; v = 𝛥x/𝛥t ⇒ 𝛥t=𝛥x/v</span></div><div><span style=""font-weight: 400;"">S: 𝛥t = .00621 mi/2 mph = .003105 h</span></div><div><span style=""font-weight: 400;"">S: 𝛥t = .003105 h</span></div></b><br>" "<b><div><span style=""font-weight: 400;"">Two dogs are running away from each other. Each dog is running at a constant speed of 3.0 mph. If they each start from the same position, how long will it take in hours for the dogs to be a quarter of a mile from each other?</span></div></b><br>""<b><div><span style=""font-weight: 400;"">G: v</span><span style=""font-weight: 400;"">1</span><span style=""font-weight: 400;""> = 3.0 mph, v</span><span style=""font-weight: 400;"">2</span><span style=""font-weight: 400;""> = 3.0 mph, v</span><span style=""font-weight: 400;"">1+2</span><span style=""font-weight: 400;""> = 3.0 mph + 3.0 mph = 6.0 mph, 𝛴d = 0.25 mile</span></div><div><span style=""font-weight: 400;"">U: 𝛴t = ?</span></div><div><span style=""font-weight: 400;"">E: v = 𝛴d/𝛴t ⇒ 𝛴t = 𝛴d/v</span></div><div><span style=""font-weight: 400;"">S: 𝛴t = 0.25 mi/6.0 mph = 0.04167 h</span></div><div><span style=""font-weight: 400;"">S: 𝛴t = 0.042 h</span></div></b><br>" "<b><div><span style=""font-weight: 400;"">Two dogs are running towards each other. Each dog is running as a constant speed of 4.0 mph. If the original distance between them is a half of a mile, how long will it take in seconds for the dogs to reach each other?</span></div></b><br>""<b><div><span style=""font-weight: 400;"">G: v</span><span style=""font-weight: 400;"">1</span><span style=""font-weight: 400;""> = 4.0 mph, v</span><span style=""font-weight: 400;"">2</span><span style=""font-weight: 400;""> = 4.0 mph, v</span><span style=""font-weight: 400;"">1+2</span><span style=""font-weight: 400;""> = 4.0 mph + 4.0 mph = 8.0 mph, 𝛴d = 0.50 mi</span></div><div><span style=""font-weight: 400;"">U: 𝛴t = ?</span></div><div><span style=""font-weight: 400;"">E: v = 𝛴d/𝛴t ⇒ 𝛴t = 𝛴d/v</span></div><div><span style=""font-weight: 400;"">S: 𝛴t = 0.50 mi/8.0 mph = 0.0625 h x (3600 s/1 h) = 225 seconds</span></div><div><span style=""font-weight: 400;"">S: 𝛴t = 220 seconds</span></div></b><br>" "<b><img src=""vvRwzV9HgDAaDvGXWA56_sWjRAVJ2inlKf1TNHF1KxGj0vva3kcxVxiAIqvvyT37aSQKqxF_I6B29aLz-3KeVTNgClvRdrr-8pmCEkmpHm6Kx77D6oI.png""><br></b><br>a. What is the value of the average slope from 10.0 seconds to 25 seconds?<br><br>b. What is the value of average acceleration from 10.0 sec to 25 sec?<br><br>c. What is the displacement of the object from 0.0 seconds to 5.0 seconds<br><br>d. What is the total distance traveled from 0.00 seconds to 15.0 seconds""a.&nbsp;<b><div><span style=""font-weight: 400;"">=(v</span><span style=""font-weight: 400;"">25</span><span style=""font-weight: 400;""> - v</span><span style=""font-weight: 400;"">10</span><span style=""font-weight: 400;"">)/(25sec-10sec)</span></div><div><span style=""font-weight: 400;"">=(5 m/s-10 m/s)/(15sec)</span></div><div><span style=""font-weight: 400;"">= - 0.33 m/s/s</span></div></b><br><br>b.&nbsp;<br><b><div><span style=""font-weight: 400;"">= - 0.33 m/s/s</span></div></b><br>c.&nbsp;<br><b><div><span style=""font-weight: 400;"">0.5(5)(10) = 25 m</span></div></b><br>d.&nbsp;<br><b><div><span style=""font-weight: 400;"">&nbsp;|25| + |100| = 125 m</span></div></b><br>" "<b><img src=""pP1uStb7_Tdgh4SdgTphQqoRn8v6LuRveEteEQ9VlkJZ4diSYOlvg3uoVrfIZThxfe9Z4jglVl8rjuNrr4685rMoTozNqDPiUE1tHAON21T__KWy_iX.png"" width=""694""></b>"C&nbsp; "<b><div><span style=""font-weight: 400;"">What is the displacement from 0 seconds to 3 seconds?</span></div></b><br><b><img src=""8y010ZIdhMoaU_Ja00BNfyKuF2UdUi5zHvVKyelCWoUF15hNQiZM7zrF_P-an16WgTQnmvU5VDUCmBU-1wp8qfTSEoEjuuT1mthtuNfCVRx304QQIL1.png"" width=""615""></b><br>""<b><div><span style=""font-weight: 400;"">Velocity vs time graph:</span></div><div><span style=""font-weight: 400;""><br></span></div><div><span style=""font-weight: 400;"">Area: 0.5(3)(1.5) = 2.25 m</span></div><div><span style=""font-weight: 400;""><br></span></div><div><span style=""font-weight: 400;"">Position vs time graph:</span></div><div><span style=""font-weight: 400;""><br></span></div><div><span style=""font-weight: 400;"">𝛥x = x</span><span style=""font-weight: 400;"">3</span><span style=""font-weight: 400;""> - x</span><span style=""font-weight: 400;"">0</span></div><div><span style=""font-weight: 400;""><br></span></div><div><span style=""font-weight: 400;"">2.25 m - 0 m = 2.25 m</span></div></b><br>" "<b><img src=""bs81w1mLFVA04DjKOcavC1av74yvUdqy9nHZsJVsmz43jq5ASZT1xlP-5A57lEUIjViJhxAqQIuJm1kl0H_t21VTxun9a4-MKL712e_VbQ0InsbPkQQ.png""></b>"Answer B&nbsp;<br><br><div>v must be 0 in order to change direction</div><div>0 = 4.2 - 1.4t</div><div>4.2 = 1.4t</div><div>4.2/1.4 = t</div><br> "<b><br><div><span style=""font-weight: 400;"">The motion of a particle is described in the velocity vs. time graph shown in the figure to the right. Over the nine-second interval shown, we can say that the </span><span style=""font-weight: 400; font-style: italic;"">speed</span><span style=""font-weight: 400;""> of the particle</span></div><ol><li><div><span style=""font-weight: 400;"">only increases.</span></div></li><li><div><span style=""font-weight: 400;"">only decreases.</span></div></li><li><div><span style=""font-weight: 400;"">increases and then decreases.</span></div></li><li><div><span style=""font-weight: 400;"">remains constant.</span></div></li><li><div><span style=""font-weight: 400;"">decreases and then increases.</span></div></li></ol><br><img src=""e6bOuAIv7QILGQkbKydJBmYU4-8LVf2M2un7a9Srq-ZwHZ_pIH7DcJAFfzY4SBaruq8YqCG8tJML7vbIJ7fX9U57q3ZQlBBcsatYjBs8k0WVP_twzJg.png""></b><br>"5 "<b><div><span style=""font-weight: 400;"">An object’s position as a function of time is represented by the following equation:</span></div><div><span style=""font-weight: 400;""><br></span></div><div><span style=""font-weight: 400;"">x(t) = t^</span><span style=""font-weight: 400;"">3</span><span style=""font-weight: 400;""> + 3t^</span><span style=""font-weight: 400;"">2</span><span style=""font-weight: 400;""> + t</span></div><div><span style=""font-weight: 400;"">What is the acceleration of the object at 2 seconds?</span></div></b><br>"18 m/s^2 "<b><div><span style=""font-weight: 400;"">An engineer is designing a runway for an airport. Several planes will use the runway and the engineer must design it so that it is long enough for the largest planes to become airborne before the runway ends. If the largest plane accelerates at 4.30 m/s</span><span style=""font-weight: 400;"">2</span><span style=""font-weight: 400;""> and has a takeoff speed of 90.0 m/s, then what is the minimum allowed length in meters for the runway? Hint: v</span><span style=""font-weight: 400;"">o</span><span style=""font-weight: 400;""> = 0 m/s</span></div></b><br>"<b><div>G: a = 4.30 m/s2, vo = 0 m/s, v = 90.0 m/s</div><div>U: d = ?</div><div>E: d = |𝛥x|, v2 = vo2 + 2a𝛥x -&gt; 𝛥x = (v2 - vo2)/(2a)</div><div>S: 𝛥x = [(90.0)2- 02]/[2(4.30)] = 941.86 m</div><div>S: 𝛥x = 942 m</div></b><br> "<b><div><span style=""font-weight: 400;"">A car is going 10.0 mph. The driver hits the brakes until the car comes to a stop. The car travels 30.0 feet after the brakes are applied. A while later the same car is going 20.0 mph. The driver hits the brakes until the car comes to a stop. About how far does the car go after the brakes are applied for the second time?</span></div></b><br>""<b><div><img src=""Screen Shot 2022-10-03 at 9.24.59 PM.png"" width=""682""><br></div></b>" "<b><div><span style=""font-weight: 400;"">An object is dropped near Earth’s surface without air. How long does it take for the object to be moving at a speed of 30 m/s?</span></div></b><br>""<img src=""Screen Shot 2022-10-03 at 9.25.39 PM.png"" width=""587"">" "<b><div><span style=""font-weight: 400;"">Ball 1 is dropped from rest at time t=0 from a tower of height, h, as shown above.&nbsp; At the same instant, ball 2 is launched upward from the ground with initial speed v</span><span style=""font-weight: 400;"">0</span><span style=""font-weight: 400;"">.&nbsp; If h = 50 m, v</span><span style=""font-weight: 400;"">0</span><span style=""font-weight: 400;""> = 10 m/s, and the air resistance is negligible, at what time t will the two balls pass each other?</span></div></b><br><b><img alt=""Free-Fall.png"" src=""Gh0bUxyBs2qI1Ej2iBBTrVZicMrXCwzEXKomeT0KRU3dw3SzwpEE8Uymz6FzITPLBINYtMPshNOuOImkwC_cmo4etS9pUIOzrHVP4bw_g5WfgQPGGYU.png""></b><br>""<img src=""Screen Shot 2022-10-03 at 9.26.17 PM.png"" width=""615"">" "<b><img src=""VYsc0tJoBk9ttMSIXYQPnCOP9oWCqawMX4WEJ2GQqS8rBOZ9KF26HNUrI7QnQLLApjAIfhbg1xw6nTmS9pxVlQ6QPJpuVUQT-T_Ifgqz-9JOPijjaRC.png"" width=""713""></b>""B<br><br><b><div><span style=""font-weight: 400;"">h</span><span style=""font-weight: 400;"">f&nbsp; </span><span style=""font-weight: 400;"">= h</span><span style=""font-weight: 400;"">i</span><span style=""font-weight: 400;""> -&nbsp; ½ gt^</span><span style=""font-weight: 400;"">2</span><span style=""font-weight: 400;""> if dropped and b/c of shape of graph; solve for g</span></div></b><br>"