The function

Question

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 rocket's height after 3 seconds, we need to evaluate the function h(x) when x = 3.

Substituting x = 3 into the function h(x) = -16x² + 80x, we have:

h(3) = -16(3)² + 80(3)
= -16(9) + 240
= -144 + 240
= 96

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