The height h (in feet) of a projectile, t seconds after being launched from an elevated platform, is given by

Question

h(t) = −16t^2+64t+80

How long will it take for the projectile to reach its maximum height?

Answer 1

x = -b/(2a) = -64/(2 * -16) = 64/ -32 = 2

h(2) = -16(2^2) + 64(2) + 80 = -64 + 128 + 80 = 144