# word problem derivatives

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A ball is dropped from the top of a building which is 1000 feet tall.

GIVEN

(s(t)=-16t^2+v(initial)t+s(initial))

A. Write the position and velocity functions for the ball.

B. Find the instantaneous velocity went t = 2 seconds.

C. How long does it take the ball to reach the ground.

Please solve using calculus (derivatives) and it is ok to leave in feet. The SI system is not needed.

Thank you....

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#### Solution Preview

A) s(t) = -16t^2 + v(0)+s(0)...this the position function for the ball. Note: v(0)= 0 (initially ball is at rest.and s(0)= ( intially it ...

#### Solution Summary

The position and velocity functions for the ball are examined. The instantaneous velocity functions for calculus derivatives are solved.

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