A football kicked straight up from the ground With an initial velocity of 32 ft/s returned to the ground after 2 s. The height of the projectile t seconds after launch is modeled by the function f (x) = - 16x^2+32x. What is the maximum height of the projectile in feet? Show your work

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24 October, 22:22

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Amirah Choi · Answer 1

Maximum height is 16 ft:

f (x) = ax²+bx+c

t max = - b / (2a) = - 32 / (2*-16) = 1 sec

plug it back in the equation = - 16+32=16ft