Question

Rosanne drops a ball from a height of 400ft. Find the ball's average height nd its average velocity between the ime it is dropped and the time it strikes the ground.

Answer 1

From the acceleration of gravity being -32 ft/s^2 and initial velocity is zero we know that:

h(t) = -16t^2 + 400

v(t) = -32t

To find time it hits ground, solve h(t) = 0
16t^2 = 400
--> t = 5

For average height and avg velocity, use integrals
\[\frac{1}{5}\int\limits_{0}^{5} h(t) dt\]
\[\frac{1}{5}\int\limits_{0}^{5} v(t) dt\]

Answer 2

Thank you very much.