Posted by Anonymous on Monday, March 28, 2011 at 4:39pm.
the height relative to the ground will be
s(t) = 16t^2 + 90t + 100
a)
s'(t) = -32t + 90
= 0 for max of s(t)
32t = 90
t = 90/32 = 2.8125 seconds
b)
ball hits the ground when s(t) = 0
-16t^2 + 90t + 100=0
8t^2 - 45t - 50 = 0
solve for t using the quadratic formula , refect the negative result
Shouldn't 90t be 96t since 96 feet/second is the velocity?
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