Acceleration Problems

1. A poorly tuned car accelerates from rest to a speed of 28 m/s in 20 s.

a. Make a labeled graph of the situation.

b. Show all work to find (from the graph):

i. the average acceleration of the car

ii. the displacement of the car during this time

2. At time t=0 a car has a speed of 30 m/s After 6 s, its speed is 15 m/s.

a. Make a labeled graph of the situation.

b. Show all work to find (from the graph):

i. the average acceleration of the car

3. A student falls from the top of a 30 m tall building in 5 s.

a. Make a labeled graph of the situation.

b. Show all work to find (from the graph):

i. how fast the student will be going just before impact (on a trampoline!)

1.4 m/s2

280 m

4. A bus initially moving at 20 m/s slows 4 m/s each second.

a. Make a labeled graph of the situation.

b. Show all work to find (from the graph):

i. the average acceleration of the bus

ii. the displacement of the bus while braking

5. A student skis down a slope with a constant acceleration of 2.0 m/s2 for 15 seconds.

a. Make a labeled graph of the situation.

b. Show all work to find (from the graph):

i. the length of the slope

6. A dog runs with an initial speed of 5 m/s for 8 s, then increases his speed to 10 m/s in the next 5 s

a. Make a labeled graph of the situation.

b. Show all work to find (from the graph):

i. the average acceleration of the car

ii. how far the dog runs

225 m