Question

The distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the distance traveled at time t seconds and t equals the time in seconds. What does the average rate of change of d(t) from t = 2 to t = 5 represent?\

Answer 1

The rate of change determines the average speed of the ball when it is dropped from the building.

Explanation:

d(t) = 16t^2

when t = 2

d(t) = 16 (2)²

d(t) = 64

when t = 5

d(t) = 16 (5)²

d(t) = 400

Average speed/rate of change = distance/time = 64/2 = 32 feet

Average speed/rate of change = distance/time = 400/5 = 80 feet

The rate of change determines the average speed of the ball when it is dropped from the building.

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