Question

he function

h(x)=−16x
2
+80x
represents the height of a rocket in feet, h(x), after x seconds. The rocket's height, in fee, after 3 seconds is feet.

Answer 1

To find the height of the rocket after 3 seconds, substitute x = 3 into the function h(x).

h(3) = -16(3)^2 + 80(3)

Simplifying,

h(3) = -16(9) + 80(3)

h(3) = -144 + 240

h(3) = 96

Therefore, the rocket's height after 3 seconds is 96 feet.