Section: AP Calc AB


6) If a ball is thrown into the air with a velocity of 40ft/s, its height in feet t  seconds later is given by y = 40t – 16t2. Estimate the instantaneous velocity when t = 2.

Explanation

At t = 2, instantaneous velocity =


limh→0 f(2+h) – f(2)
(2 + h) - 2
 
=

limh→0 40h - 64h -16h2
h

 
   
= -24 ft/s
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