SOLUTION: A fourth of July fireworks rocket is fired upward from a 100ft tower. The rocket's height (in feet)above the ground at time t is given by h(t)=100+200t-16t^2. Find the maximum heig

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Question 999806: A fourth of July fireworks rocket is fired upward from a 100ft tower. The rocket's height (in feet)above the ground at time t is given by h(t)=100+200t-16t^2. Find the maximum height (in feet) attained by the rocket.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The maximum height is reacer when its speed is zero, so take the derivative and set it equal to zero to find out when, then plug that time into h(t)...
h'(t) = -32t + 200 = 0
t = 6.25 seconds
h(6.25) = -16(6.25)^2 + 200(6.25)+100 = 725 feet