Name: ____________________ Constant Acceleration Review Sheet Modified True/False Indicate whether the sentence or statement is true or false. If false, change the identified word or phrase to make the sentence or statement true. ____ 1. The rate of change of the speed of an object is called its acceleration. ___________ Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. ____ ____ ____ ____ ____ ____ ___ 2. If an object has an acceleration of 0 m/s every second, which of the following may happen? a. The object increases its speed. b. The object reverses its direction. c. The object moves at a constant speed. d. None of the above. 3. When an object is decreasing speed we can say it is a. Accelerating b. Motionless c. Decelerating d. Stopped 4. Units of measurement used to label a quantity of acceleration are: a. m2/sec. b. sec2/m. c. m/sec. d. m/sec2. 5. Acceleration is: a. The distance between two dots. b. The distance divided by time. c. The rate of change in the speed of an object d. Mr. Goett and Dr. Bitko running to the finish line of a race. 6. Ana glances at the speedometer on her car as she begins to roll downhill. It indicates she is traveling at 10 miles per hour when she initially looks at it and 25 miles per hour 5 seconds later. Her acceleration is: a. 3 mph/sec. b. 6 mph/sec. c. 12 mph/sec. d. 24 mph/sec. 7. The slope of a velocity versus time graph represents: a. distance traveled. b. speed c. Time d. acceleration.. 8. The slope of the line of a graph is calculated by: a. dividing the run by the rise. b. multiplying the run by the rise. c. dividing the rise by the run. d. None of the above. Name: ____________________ Completion Complete each sentence or statement. 9. The amount of change in the speed of an object divided by the amount of time it took to change the speed represents ____________________. 10. The ratio of the “rise” (vertical change) to the “run” (horizontal change) of the best-fit line on a graph represents the ____________________ of the graph. Short Answer 11. An object is moving with constant speed. Describe two ways to change this motion that would cause the object to accelerate. Give an example of each. _____________________________________________________________________________ _____________________________________________________________________________ 12. Give an example of an object with a positive acceleration. _____________________________________________________________________________ _____________________________________________________________________________ 13. Give an example of an object with a negative acceleration. _____________________________________________________________________________ In each of the motion diagrams below, determine the value and direction of the acceleration. Add the squiggly acceleration answer to show your answer. 14. Value of the acceleration: _________________ Add the acceleration arrow. 15. Value of the acceleration: _________________ Add the acceleration arrow. Name: ____________________ 16. The horse was racing in the Derby. He went from 2mph to 10mph in 4 seconds. Solve for the acceleration. Asking for: Equation: a= Given: v2 - v1 t Solution: 17. A track runner stops at the end of a race. She goes from 10m/s to 0m/s in 5 seconds. Solve for the acceleration. Asking for: Equation: a= Given: v2 - v1 t Solution: 18. Mr. Goett is going to drop a marble. Draw a motion diagram showing the motion that you predict will occur. Name: ____________________ 19. Mary throws a ball straight upwards. Draw a motion diagram for the ball from the time it leaves her hand to the time it reaches its highest point. Name: ____________________ 20. Kaitlyn was running down a long 100 m track. The coach used a motion sensor to measure her velocity every 0.1 seconds. Here is her data for the first second. Calculate her acceleration using the velocity vs. time graph. Calculate the slope and find the acceleration: Name: ____________________ 21. Students in class used a motion sensor to measure the speed of Ms. McCourt’s car every 0.2 seconds as it was driving down the road. Calculate her acceleration. Calculate the slope and find the acceleration: Name: ____________________ 22. The moving man at the tree. His is walking with a starting velocity of 2 m/s to the right. He accelerates at 1 m/s2. Predict where he will be 3 seconds later. Looking For: Equation: x = xo + vo t + ½ at2 Given: xo = Solve: vo = t= a= 23. A penny is dropped from the Empire State Building downward. It starts at position 0m. Its starting velocity is 0 m/s. It accelerates at 10 m/s2. How far has it fallen after 2 seconds (find x)? Looking For: Equation: x = xo + vo t + ½ at2 Given: xo = a= Solve: vo = t= Name: ____________________ Calculating Acceleration from Position using Data Tables and Motion Diagrams Problem 24: Speed = _____ Time interval ______ ________ Distance traveled (m) ________ Time elapsed (s) Average Speed (m/s) 0s to 1s 1s to 2s 2s to 3s 3s to 4s Acceleration = ___________________ Problem 25 Speed = ____ _____ Time interval _____ Distance traveled (m) _____ Time elapsed (s) 0s to 1s 1s to 2s 2s to 3s 3s to 4s Acceleration = ___________________ Average Speed (m/s) Name: ____________________ Constant Acceleration Answer Section MODIFIED TRUE/FALSE 1. ANS: T MULTIPLE CHOICE 2. 3. 4. 5. 6. 7. 8. ANS: ANS: ANS: ANS: ANS: ANS: ANS: C C D C A D C COMPLETION 9. ANS: acceleration 10. ANS: slope SHORT ANSWER 11 ANS: Answers will vary. Examples include: Changes in speed and /or direction represent acceleration of a body. Applying the brakes to slow a car or stepping on the gas pedal to increase the speed of the car would cause negative acceleration (deceleration) or positive acceleration. Turning the steering wheel would cause a change in direction, also acceleration. Turning on a snowboard as you slow to a stop would represent a change in direction and speed, both examples of acceleration. 12. Positive acceleration: for example: a car with its velocities increasing 13. Negative acceleration: for example: a car with its velocities decreasing 14 ANS: 4/m/s/s (acceleration arrow to the right) 15 Ans= -5m/s/s (acceleration arrow to the left) Name: ____________________ PROBLEM 16. The horse was racing in the Derby. He went from 2mph to 10mph in 4 seconds. Solve for the acceleration. Asking for: ACCELERATION What know: 10mph – 2mph 4sec V1 = 2mph V2 = 10mph T = 4 second 8mph 4sec = 2mph/s Equation a= v2 - v1 t 17. A track runner stops at the end of a race. She goes from 10m/s to 0m/s in 5 seconds. Solve for the acceleration. Asking for: ACCELERATION Solution 0m/s – 10m/s 5sec What know: V1 = 10m/s V2 = 0 m/s T = 5 second Equation a= v2 - v1 t - 10m/s 5 sec = - 2 m/s/s Name: ____________________ Problem 18. Mr. Goett is going to drop a marble. Draw a motion diagram showing the motion that you predict will occur. Problem 19. Mary throws a ball straight upwards. Draw a motion diagram for the ball from the time it leaves her hand to the time it reaches its highest point. Name: ____________________ Problem 20. Kaitlyn was running down a long 100 m track. The coach used a motion sensor to measure her velocity every 0.1 seconds. Here is her data for the first second. Calculate her acceleration using the velocity vs. time graph. Calculate the slope and find the acceleration: Slope = 10 m/s/s Acceleration = 10 m/s/s Name: ____________________ Problem 21 Students in class used a motion sensor to measure the speed of Ms. McCourt’s car every 0.2 seconds as it was driving down the road. Calculate her acceleration. Calculate the slope and find the acceleration: Slope = 5 m/s/s Acceleration = 5 m/s/s Name: ____________________ Problem 22 The moving man at the tree. His is walking with a starting velocity of 2 m/s to the right. He accelerates at 1 m/s2. Predict where he will be 3 seconds later. Looking For: Equation: x = xo + vo t + ½ at2 Final position Given: xo = -8 m Solve: vo = 2 m/s t =3 s a= 1 m/s/s x = -8 + 2*3 + ½ 1*32 x = 2.5 m Problem 23) A penny is dropped from the Empire State Building downward. It starts at position 0m. Its starting velocity is 0 m/s. It accelerates at 10 m/s2. How far has it fallen after 2 seconds (find x)? Looking For: Equation: Final position x = xo + vo t + ½ at2 Given: Solve: xo = 0 m vo = 0 m/s t = 2s x = 0 + 0*2 + ½ 10*22 a= 10 m/s2 x=20 m Name: ____________________ Calculating Acceleration from Position using Data Tables and Motion Diagrams Calculating Acceleration from Position using Data Tables and Motion Diagrams Problem 24: Speed = _____ Time interval ______ ________ ________ 0s to 1s Distance traveled (m) 2 Time elapsed (s) Average Speed (m/s) 1 2 m/s 1s to 2s 6 1 6 m/s 2s to 3s 10 1 10 m/s 3s to 4s 14 1 14 m/s Acceleration = _+4 m/s/s________ Problem 25 Speed = ____ _____ Time interval _____ _____ 0s to 1s Distance traveled (m) 2 Time elapsed (s) Average Speed (m/s) 1 2 m/s 1s to 2s 7 1 7 m/s 2s to 3s 12 1 12 m/s 3s to 4s 16 1 16 m/s Acceleration = __about 5 m/s/s (either 4 m/s/s or 5 m/s/s is acceptable)____