Phys 11A
These sheets do NOT include all the material covered on the test!! Make sure you study from your notes, homework, textbook, labs, EVERYTHING we’ve done in class!
Kinematics in One Dimension:
Chapter 2 Test Review
1. Draw (a) a displacement-time graph, (b) a velocity-time graph, and (c) an acceleration-time graph for (i) uniform motion and (ii) constantly accelerated motion. Explain how each graph relates to the others, including how to make one graph using another.
2. A dog walks at a speed of 1.8 m/s along the deck of a boat. He is initially headed towards the bow (front) of the boat. The boat itself is traveling at 7.6 m/s [forward] wrt the water, and the water is moving at 2.3 m/s [forward] wrt the shore. (a) Determine the dog’s velocity wrt the boat, the water and the shore. (b) Do this again assuming the dog has turned around and is going at the same speed, but in the opposite direction.
3. A driver maintains a steady speed of 20.0 m/s for 45.0 min, then immediately slows down to 10.0 m/s for the next 15.0 min. Determine (a) the total distance traveled and (b) the average speed for the trip. Do (a) both graphically and analytically.
4. Plot displacement-time and (instantaneous) velocity-time graphs for the following rocketship data. What is the ship’s acceleration?
D (m) / 0 / 25 / 100 / 225 / 400 / 625 / 800 / 1225 / 1600T (s) / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
5. A marathon runner goes 40 km in 3.0 hours. What is her average speed?
6. What is the acceleration of a car that goes from 0 to 100 km/h in 4.6 s?
7. The Roadrunner is running at 14 m/s. As he passes Wile E. Coyote, the Coyote activates his Acme Rocket Shoes which immediately give him a constant speed of 19 m/s. The time for activation is 5.0 s. (a) How long will it take the Coyote to catch up to the Roadrunner? (b) If a the road goes over a cliff 250 m after the Coyote’s start point, will he catch the Roadrunner before going over the cliff? (Of course the Roadrunner can stop instantaneously and the Coyote will keep going over the cliff.)
8. A police officer signals to a Porsche driver to pull over. The Porsche can decelerate at 8.5 m/s2. If it takes 3.8 s for the car to stop, how fast was the Porsche going when it started to brake?
9. A stone is thrown vertically upwards from the edge of a building 19.6 m high with an initial speed of 14.7 m/s. The stone just misses the building on the way down and hits the street below. Determine (a) the time of flight and (b) the velocity of the stone just before it hits the ground.
10. Describe a way to find the depth of a canyon using only a small stone and a stopwatch.
Answers:
2. (a) 1.8 m/s, 9.4 m/s, 11.7 m/s, (b) -1.8 m/s, 5.8 m/s, 9.1 m/s
3. (a) 63 km, (b) 17.5 m/s, 4. a=50 m/s2 5. 13 km/h 6. 6.0 m/s2
7. (a) 19 s, (b) No, catch up happens at 266 m 8. 116 km/h
9. (a) 4.0 s, (b) 24.5 m/s [down] or –24.5 m/s