SOLUTION: A projectile on Earth is fired straight upward so that its distance (in feet) above the ground t seconds after firing is given by s (t) = 16t� + 400t Find the maximum height it re

Question 863712: A projectile on Earth is fired straight upward so that its distance (in feet) above the ground t seconds after firing is given by s (t) = 16t� + 400t
Find the maximum height it reaches and the number of seconds it takes to reach that height.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

s (t) = -16t^ + 400t    |s' = -32t + 400, t = 12.5

      = -16(t - 400/32)^2) + 2500  |Completing Square

      = -16(t - 12.5)^2) + 2500

Hmax = 2500ft in 12.5sec 

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