What’s Your Headline? Name__________________________ Period________ 09.16.19 Catalyst/Do Now Solve the table using the function below, then graph the data. Find the slope, then the position when x=10. T (sec) -1 0 1 2 3 Use the graph to determine the average speed away from the origin and the return to the origin. P (m) 3 2 1 0 -1 Shown is a multiple flash photo of two cars taken in equal time intervals. What is the average speed of the cars when t=1 and t=6? (each hash mark equals 1 meter) Top car ______________ Away from the origin: _____________ Return to the origin: _____________ Acceleration Worksheet Which path was fastest? _____________ Bottom car ______________ Name________________________ Period________ Date___________ Equations: Acceleration = Final velocity – Initial velocity Time Time = Final Velocity – Initial Velocity Acceleration Final Velocity = Acceleration * Time + Initial Velocity How long will it take a car to go from a complete stop How long will it take a car to accelerate from 15.2 m/s to Problems: I n order to receive credit for this2 worksheet you M UST show your work using the GUESS to 44 km/hr if they are accelerating at 5 km/hr ? 23.5 m/s if the car has an average acceleration of 3.2 Method. You can use a calculator but you must show all of the steps in the spaces provided. m/s2? 1. A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4 m/s. But 3 seconds later, at the bottom of the slope, its speed is 22 m/s. What is its average acceleration? Mr. Harrington – [email protected] 1 What’s Your Headline? Name__________________________ Period________ 09.16.19 Exit Ticket Draw a velocity versus time graph for the distance time graph from the Reason and Explain page. Draw a velocity versus time graph for the distance time graph from the Represent and Reason 2.0 page. Mr. Harrington – [email protected] 2 What’s Your Headline? Name__________________________ Lesson 14: Putting I t 1 Reason and Explain Period________ All Together Reason and Explain graph below records the position versus time for an object. The graph below shows the distance vs time for an object. 09.16.19 Describe the motion in words. ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ! Create motion Describe the amotion indiagram words. for this situation. l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l Create a motion diagram for this situation Place the correct time interval next to the correct Rank the motion during the time intervals in order description. from fastest to slowest. During what time interval(s) is the object at rest? Traveling at constant velocity? Accelerating? When is the object at rest? ______________ 0-10s _______ 10-20s _______ When is the object traveling at a constant velocity? 30-40s _______ Rank ______________ the motion during the time intervals in order from fastest to slowest. 50-60s _______ When is the object accelerating? ______________ 0-10 s, 10-20 s, 30-40 s, 40-50 s, and 50-60 s? Find the average velocity for: Find the average velocity for: • The first s?40 seconds. • The first 50 s? The40 first • The first s? The first 5060 seconds. 40-50s _______ The first 60 seconds. Draw what you believe the velocity versus time graph should look like. PUM | Kinematics | Lesson!14:!Putting!It!All!Together 65 © Copyright 2014, Rutgers, The State University of New Jersey. Mr. Harrington – [email protected] 3 What’s Your Headline? Name__________________________ If you have a motion detector, use it and your own motion to create a graph that matches the one above. Discuss why you were or were not able to reproduce this exact graph. Period________ 09.16.19 Represent and Reason 1.0 14.2 Represent andbelow Reasonshows the distance vs time for an object. The graph Describe the motion in words. ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ! DescribeCreate the motion in words.diagram for this situation. a motion Create a motion diagram for this situation l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l During what time interval(s) the object accelerating? zero? ObjectWhat at rest?isTraveling at Place the correctistime interval next toAcceleration the correct the velocity of the object at the following constant velocity? description. clock readings? When is the object accelerating? ______________ 10s _______ 15s _______ What is the velocity of the object at the following clock readings? Explain how you know. When is20 the object’s acceleration is zero? 10 s, 15 s, s, 25 s, 45 s, and 55 s? Calculate the acceleration of the object for the following time intervals: ______________ 20s _______ 25s _______ 45s _______ 55s _______ 0-10 s, 10-20s, 20-40 s, 40-50 s, and 50-60 s. When is the object at rest? ______________ When is the object traveling at a constant velocity? M | Kinematics | Lesson!14:!Putting!It!All!Together ______________ opyright 2014, Rutgers, The State University of New Jersey. Calculate the acceleration of the object at the following time intervals (use scratch paper): 0-10s 10-20s 20-40s 40-50s 50-60s Mr. Harrington – [email protected] 4 What’s Your Headline? Name__________________________ Homework Period________ 09.16.19 Represent and Reason 2.0 epresent and Reason aph below records the position versus time for an object. The graph below shows the distance vs time for an object. Describe the motion in words. ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ! Createofa the motion diagram for this situation. e the motion object in words. a motion diagram l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l what time interval(s) is the object accelerating? Place the correct time interval next to the correct description. what time interval(s) is the object at rest? When is the object accelerating? ______________ What is the average velocity of the object at the following time intervals? 0-10s ______________ what time interval(s) is the object traveling at constant velocity? 10-20s ______________ When is the object at rest? ______________ 30-40s ______________ the average velocity for the following time intervals: When is the object traveling at a constant velocity? 0-50s ______________ ______________ 0-10 s, 10-20 s, 30-40 s, and 0-50 s? e velocity versus time graph for this object. Mr. Harrington – [email protected] PUM | Kinematics | Lesson!14:!Putting!It!All!Together © Copyright 2014, Rutgers, The State University of New Jersey. 67 5 What’s Your Headline? Name__________________________ Mr. Harrington – [email protected] Period________ 09.16.19 6 What’s Your Headline? Name__________________________ Acceleration Worksheet Period________ 09.16.19 Name________________________ Acceleration Period________ Date___________ Equations: Acceleration = Final velocity – Initial velocity Time Time = Final Velocity – Initial Velocity Acceleration Final Velocity = Acceleration * Time + Initial Velocity Problems: I n order to receive credit for this worksheet you M UST show your work using the GUESS A roller coaster’s velocity at the top of a hill is 10 m/s. Two seconds later it reaches the bottom of the hill Method. You can use a calculator but you must show all of the steps in the spaces provided. with a velocity of 26 m/s. What was the acceleration of the coaster? 1. A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4 m/s. But 3 seconds later, at the bottom of the slope, its speed is 22 m/s. What is its average acceleration? A roller coaster is moving at 25 m/s at the bottom of a hill. Three seconds later it reaches the top of the hill moving at 10 m/s. What was the acceleration of the coaster? 2. A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration ? Is this acceleration higher than Athat caroftraveling at 15accelerates m/s starts to decelerate steadily. It comes to a complete stop in 10 seconds. What is it’s a car which from 0 to 30 m/s in 8 seconds? acceleration? A child drops a ball from a window. The ball strikes the ground in 3.0 seconds. What is the velocity of the ball the instant before it hits the ground? 3. A car advertisement states that a certain car can accelerate from rest to 70 km/h in 7 seconds. Find the car’s average acceleration. A boy throws a ball straight up into the air. It reaches the highest point of its flight after 4 seconds. How fast was the ball going when it left the boy’s hand? A lizard accelerates 2 m/sof to 25 10 m/s m/sin in30.0 4 seconds. What is is theitslizard’s average acceleration? A4.train moves from rest from to a speed seconds. What acceleration? If a train going 60 m/s hits the brakes, and it takes the train 1 minute 25 seconds to stop, what is the train’s acceleration? 5. If a Ferrari, with an initial velocity of 10 m/s, accelerates at a rate of 50 m/s/s for 3 seconds, what will its final velocity be? Mr. Harrington – [email protected] 7