Physics 11A Kinematics Worksheet
1. Sketch a velocity-time graph showing an object moving at a constant speed of 1.0m/s for 3.0 seconds, then accelerating at a rate of 2.0m/s2 for 3.0 seconds, then accelerating at a rate of -1.5m/s2 for 9.0 seconds, and then slowing to a stop in 1.0s.
2. For the above graph, calculate the object’s
a. Average velocity
b. Total displacement
c. Average speed
d. Total distance traveled
3. For the following position-time graph (assume distance in metres, time in seconds):
a. During which time intervals is he traveling in a positive direction?
b. During which intervals is he traveling in a negative direction?
c. Is his speed the same in any intervals?
d. Is his velocity the same in any intervals?
e. What is his total displacement over the graph?
f. What is his total distance traveled over the graph?
g. What is his average velocity over the first 5 seconds?
h. What is his average velocity from 7s to 11s?
i. What is his average speed in 10 seconds?
j. What is his average velocity in 10 seconds?
4. Describe the motion represented by each of the following position-time graphs:
5. For the graph below:
a. Calculate average velocity over 22 seconds
b. Calculate average velocity from 6 to 18 seconds
c. Calculate instantaneous velocity at 6 seconds
d. Calculate instantaneous velocity at 12 seconds.
6. Driving down the road, you suddenly see a deer 20.0m in front of you. Your car is traveling at 11.4m/s. You slam on the brakes, decelerating at a rate of 3.80m/s2. How close do you come to hitting the deer?
7. A speeder traveling 75.0km/hr in a 50 km/hr zone passes a police car. The instant the speeder passes the police car, the police car begins its pursuit, accelerating from rest at a rate of 4.51m/s2. Assuming its rate of acceleration is constant,
a. How long does it take the police car to catch the speeder?
b. How far has the police car traveled in that time?
c. What is the speed of the police car when it catches the speeder?
8. A rock is projected from the top of an erupting volcano. The rock is propelled straight upward and takes 4.75s from the moment it is launched to land again. Assuming acceleration is 9.81m/s2 downward, what was its initial speed?
9. A balloon is rising upwards at a constant 6.50m/s when a passenger drops a sandbag from a height of 20.0m above the ground.
a. How long will it take the sandbag to hit the ground?
b. What is its max height relative to the ground?
c. What is its maximum velocity as it falls?
10. A ball is thrown straight upward on Planet X. After 3.0 seconds, the ball is travelling downward at 1.0m/s2, 4.0m above the launch height. What is the rate of acceleration due to gravity on Planet X?
11. As a train accelerates away from a station, it reaches a speed of 4.7m/s in 5.0s. If the train’s acceleration remains constant what is its speed after an additional 6.0s has elapsed?
12. Starting from rest, a boat increases its speed to 4.12m/s with constant acceleration
a. What was its average speed?
b. If the boat takes 4.77 s to reach this speed, how far has it traveled?