Problema Solution

if a baseball is projected upward from ground level with an initial velocity of 160 feet per second, then its height is a function of time, given by s=-16t^2 + 160t.

what is the maximum height reached by the ball?

Answer provided by our tutors

s=-16t^2 + 160t


we need to find the maximum value of the parabolic function s=-16t^2 + 160t


s max = c - b^2/(4a) where a = -16, b = 160, c = 0


s max = 0 - 160^2/(4*(-16))


s max = 400 ft


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the maximum height reached by the ball is 400 feet.