Question

In Behr free fall, prove that if the acceleration is constant, then vₐᵥₑ over a time interval is equal to vᵢₙₛₜ at the midpoint of the time interval.

a) True

b) False

Answer 1

If acceleration is constant in free fall, the velocity at the average time interval is equal to the velocity at the midpoint of the time interval. The correct option is (a) True.

Step-by-step explanation:

In free fall, if the acceleration is constant, then the velocity at the average time interval is equal to the velocity at the midpoint of the time interval. This is because the velocity of an object in free fall increases uniformly due to the constant acceleration of gravity.

For example, let's say the initial velocity of an object in free fall is 0 m/s and the acceleration due to gravity is 9.8 m/s². If we consider a time interval of 2 seconds, the velocity at the average time interval of 1 second would be 9.8 m/s, and the velocity at the midpoint of the time interval would also be 9.8 m/s.

Therefore, the statement is True.