Question

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

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