A ball is attached to a paddle by a rubber band. The ball is initially moving away from the paddle with a speed of 4.0 m/s. After 0.2 seconds it is moving towards the paddle with a velocity of 3.5 m/s. What is the average acceleration in m/s2 during this time?
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To find the average acceleration, we can use the formula:
average acceleration = (change in velocity) / (time taken)
In this case, the change in velocity is given as the final velocity minus the initial velocity. The time taken is also given as 0.2 seconds.
change in velocity = final velocity - initial velocity
= 3.5 m/s - (-4.0 m/s)
= 3.5 m/s + 4.0 m/s
= 7.5 m/s
Now, we can substitute the values into the formula:
average acceleration = (7.5 m/s) / (0.2 seconds)
= 37.5 m/s^2
Therefore, the average acceleration during this time is 37.5 m/s^2.