4. What does the slope of a position vs. time graph mean? ___________________
5. What does the slope of a velocity vs. time graph mean? ___________________
6. What does the area under the curve of a velocity vs. time graph mean? _________________
7. What type of “best­fit” function would be used to model uniform acceleration on a
a. position vs. time graph __________________
b. velocity vs. time graph __________________
8. On the following position vs. time and velocity vs. time graphs, sketch and label the following motions:
a. at rest
b. constant positive velocity
c. constant negative velocity
d. uniform acceleration from rest
e. uniform negative acceleration from a positive initial velocity
x
v
t
t
The velocity vs. time graph below shows the motion of Joy Ryder driving on the highway.
a. Calculate Joy’s acceleration during interval A. ______________
b. What is Joy doing during interval B? _______________
c. Determine Joy’s total displacement for the entire motion. _________________
10. The biathlon is a sporting event that combines cross­country skiing with target shooting. An athlete skis 3 km at a speed of 15 m/s, before stopping for 30 seconds to shoot the targets. He then finishes the final 2 km at an average speed of 10 m/s. What is his average speed for the entire event?
11. A runner in a track and field event crosses the finish line at 6 m/s. She continues at this pace for 2.0 seconds, before slowing to rest at a rate of 0.5 m/s2. How far past the finish line did the sprinter run before stopping?
12. A skater glides off a frozen pond onto a patch of ground at a speed of 1.8 m/s. Here she is slowed at a constant rate of 3.00 m/s2. How fast is the skater moving when she has slid 0.37 m across the ground?
13. A shopping cart is given an initial velocity of 2.0 m/s and undergoes a constant acceleration of 3.0 m/s/s. What is the magnitude of the cart’s displacement after the first 4.0 s of its motion?
14. A race car accelerates from 0.0 m/s to 30.0 m/s with a displacement of 45.0 m. What is the car’s acceleration?
15. A kitten pushes a ball of yarn rolling toward it at 1.00 cm/s with its nose, displacing the ball of yarn 17.5 cm in the opposite direction in 2.00 s. What is the acceleration of the ball of yarn?
16. A ranger in a national park is driving at 40 km/h when a deer jumps onto the road 70 m ahead of the vehicle. After a reaction time of t s, the ranger applies the brakes to produce an acceleration of ­3.60 m/s2. What is the maximum reaction time allowed if the ranger is to avoid hitting the deer?
1. A small first­aid kit is dropped by a rock climber who is descending steadily at 1.1 m/s. (a) After 2.7 s, what is the velocity of the first­aid kit?
(b) After the 2.7 s, how far is the kit below the climber?