Constant Acceleration Review

Constant Acceleration Review

Useful Equations

v=∆x∆t a=∆v∆t

vf=at+vi ∆x=12at2+vit vf2=2a∆x+vi2

Problem solving:

1. A Pontiac Trans-Am, initially at rest, accelerates at a constant rate of 4.0 m/s2 for 6 s. (a) How fast will the car be traveling at t = 6 s? (b) How far will it have gone?

2. A tailback initially running at a velocity of 5.0 m/s becomes very tired and slows down at a uniform rate of 0.25 m/s2. (a) How fast will he be running after going an additional 10 meters? (b) How long will it have taken him to travel that 10 m?

3. A car traveling at 15.65 m/s is to stop on a 35-m long shoulder of the road. (a) What is the required magnitude of the minimum acceleration? (b) How much time will elapse while the car is slowing down to a stop?

4. A soccer ball is released from the top of a smooth incline. After 4.22 s, the ball travels 10.0 m. One second later it has reached the bottom of the incline. (a) Assume the ball’s acceleration is constant and determine its value. (b) How long is the incline?

5. For each of the position vs time graphs shown below, draw the corresponding

v vs t, a vs t , and motion map.

6. Using the graph below, compare the kinematic behavior of the two objects.

Comparison: is A > B, A < B, or A = B, How do you know?

a. Displacement at 3 s

b. Average velocity from 0 - 3 s

c. Instantaneous velocity at 3 s

7. Consider the velocity graph given below:

a) Describe the motion being represented in words.

b) Use the graph to determine the acceleration of the moving object

c) On the graph, represent the displacement of the object from t = 3s to t = 9s. Calculate this displacement using the graph.

d) Determine the average velocity of this object from t = 3s to t = 9s.

e) Sketch a displacement graph and an acceleration graph representing the same motion.