AP Calculus ABmediummcq1 pt

A water balloon is dropped from 400 feet, and its height is h(t)=40016t2h(t)=400-16t^2 feet after tt seconds. How fast is it falling at t=2t=2 seconds?

A.6464 ft/s upward
B.3232 ft/s downward
C.6464 ft/s downward
D.128128 ft/s downward

Explanation

Core Concept

Velocity is h(t)=32th'(t)=-32t, so h(2)=64h'(2)=-64 ft/s. The negative sign means the balloon is falling, so its speed is 64 ft/s downward.

Correct Answer

C6464 ft/s downward

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