leahs math problem

Question

a toy rocket is launched upward from ground level with an initial velocity of 112 feet per second the height h atfer x seconds is represented by the equation

Answer 1

h(t) = -16t^2 +112t

maximum height is reached when

h'(t) = -32t +112 = 0

t = 112/32 = 3 1/2 seconds

max height = h(3.5) = -16(3.5)^2 +112(3.5) = 0

56(3.5) = 196 feet

it hits the ground in 2x3.5 = 7 seconds