Pre AP PhysicsUniform Motion &Graphing Review Sheet
The purpose of this review sheet is to provide for you extra practice, it is not the test you will take. Show all work and be prepared to turn this in on test day.
1. Identify the following as scalar or vector quantities:
a. 55 mi/hr North ______d. 82 km west ______
b. 28 m/s2 ______e. 240 m/s ______
c. 3 km ______
2. Two physics teachers challenge each other to a 100 m race across the football field. The loser will grade the winner’s physics labs for one month. Mrs. Jensen runs the race in 10.4 seconds. Mr. Avis runs the first 25 m with an average speed of 10 m/s, the next 50 meters with an average speed of 9.5 m/s, and the last 25 m with an average speed of 11.1 m/s. Who gets stuck grading physics labs? [Mrs. Jensen by 0.39 sec]
3. A tortoise and a hare are in a road race to defend the honor of their breeds. The tortoise crawls the entire 1000 m distance at a speed of 0.2 m/s while the hare runs the first 200 m at 2 m/s. The hare then stops to take a nap for 1.3 hours and awakens to finish the last 800 m with an average speed of 3 m/s. Who wins the race and by how much time? Draw a graph of position vs. time for the situation. [Tortoise by 46.67 s]
4. Hans stands at the rim of the Grand Canyon and yodels down to the bottom. He hears his yodel echo back from the canyon floor 5.2 seconds later. Assume that the speed of sound in air is 340 m/s. How deep is the canyon at this location? Draw a position vs. time graph and a velocity vs. time graph of the motion. [884 m]
5. It is now 10:29 am, but when the bell rings at 10:30 am, Suzy will be late for French class for the third time this week, which will cause her to lose final exemptions. She must get from one side of the school to the other by hurrying down three different hallways. She runs down the first hallway, a distance of 35 m, at a speed of 3.5 m/s. The second hallway is filled with students and she covers its 48 m length at an average speed of 1.2 m/s. The third hallway is empty, Suzy sprints its 60 m length at a speed of 5 m/s. Does Suzy make it to class on time or does she lose exemptions? Draw a position vs. time graph of the situation. [2 seconds late]
(Assume all halls are parallel and she is running in the + direction)
6. A jumbo jet taxiing down the runway receives word that it must return to the gate to pick up an important passenger who was late to his connecting flight. The jet is traveling at 45 m/s when the pilot receives the message. What is the acceleration of the plane if it takes the pilot 5 seconds to bring the plane to a halt? [-9.00 m/s2]
7. Vivian is walking to the hairdresser’s at 1.3 m/s when she glances at her watch and realizes that she is going to be late for her appointment. Vivian gradually quickens her pace at a rate of 0.09 m/s2. What was Vivian’s speed after 10 s? Draw a position vs. time graph and a velocity vs. time graph of the motion. [2.20 m/s]
8. Nathan accelerates his skateboard uniformly along a straight path to the east from rest to 12.5 m/s in 2.5s.
a) What is Nathan’s acceleration? [5 m/s2]
b) What is Nathan’s displacement during this time interval? [15.63 m]
c) What is Nathan’s average velocity during this time interval? [6.25 m/s]
9. Use the following velocity vs. time graph for a shuttle bus moving along a straight path to answer the following questions:
a. Identify the time intervals during which the velocity of the shuttle bus is constant
b. Identify the time intervals during which the acceleration of the shuttle bus is constant.
c. Identify the times at which the velocity of the shuttle bus is zero.
d. Identify the times at which the acceleration of the shuttle bus is zero.
e. Explain what the shape of the graph reveals about the acceleration in each time interval.
10. Answer the following questions about the car whose motion is graphed in the following position vs. time graph:
a) When was the car 20 m west of the origin?
b) The car suddenly reversed direction. When and where did that occur?
c) Where was the car at 50 s?
d) Describe the motion of the car.
11. Describe the motion of the object in the following graphs and then sketch the graph that corresponds to it:
12. Calculate the total displacement of the object whose motion is described in the velocity-time graph below: [32 m]
13. Which point or points on the v-t graph (if any) show instants at which there was:
- Uniform motion in the positive direction? ______
- Uniform motion in the negative direction?
- Rest? ______
- Positive acceleration with positive velocity? ______
- Negative velocity with positive acceleration? ______
- Negative acceleration with positive velocity? ______
- Negative velocity with negative acceleration? ______
- Zero velocity and negative acceleration? ______
- Positive acceleration and zero velocity? ______