1) An eagle accelerates from 15 m/s to 22 m/s in 4 seconds. What is the eagle's average
acceleration?

2) A roller coaster picks up speed as it rolls down its first hill. Its initial speed is 4 m/s,
and 3 seconds later at the bottom its speed is 22 m/s. What is its average acceleration?

3) A car is said to go "zero to sixty in six point seven seconds (6.7 s)". 60 mph is equal to
26.8 m/s. What is its acceleration in m/s??

4) A car is moving at a speed of 35.8 m/s. What acceleration would it have if it took 2.0 s to
come to a complete stop?
5) A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the acceleration of the car.
6) A plane has a takeoff speed of 88.3 m/s. It reached that speed in 30.8 s. Determine the
acceleration of the plane.
7) Rocket-powered sleds are used to test the human response to acceleration. If a rocket-
powered sled is accelerated to a speed of 444 m/s in 1.83 seconds, then what is the
acceleration of the sled?

1)The average acceleration of eagle is 1.75 m/s².

2) The average acceleration of roller coaster is 6 m/s².

3)Acceleration in m/s² is 4 m/s².

4) Acceleration required to stop the car is -17.9 m/s².

5) Acceleration required to stop the car is -8.78 m/s².

6) Acceleration of the plane is 2.87 m/s².

7)Acceleration of the sled is 243 m/s².

Explanation:

1) Average acceleration is equal to the rate of change in velocity with respect to time. Here the final and initial velocities are given as 22 m/s and 15 m/s respectively and the time is given as 4 seconds.

So, average acceleration = (Final velocity-Initial velocity)/Time

Average acceleration = (22-15)/4= 1.75 m/s².

Thus, the average acceleration of eagle is 1.75 m/s²

2) Similarly we have to use the above formula for determining the average acceleration of the roller coaster. Here the initial velocity is 4 m/s and final velocity is 22 m/s and the time taken to reach this final speed is 3 seconds.

So, average acceleration = (Final velocity-Initial velocity)/Time

Average acceleration = (22-4)/3= 6 m/s².

Thus, the average acceleration of roller coaster is 6 m/s².

3) Acceleration = 26.8/6.7=4 m/s².

Acceleration in m/s² is 4 m/s².

4) Acceleration required to stop the car = -35.8/2=-17.9 m/s².

Acceleration required to stop the car is -17.9 m/s².

5) Acceleration of the car skidding to stop = (0-22.4)/2.55=-8.78 m/s².

Acceleration required to stop the car is -8.78 m/s².

6) Acceleration of the plane= 88.3/30.8=2.87 m/s².

Acceleration of the plane is 2.87 m/s².

7) Acceleration of the sled = 444/1.83=243 m/s².

Acceleration of the sled is 243 m/s².

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