Question

please help: A toy rocket is fired straight into the air. The rocket has an initial velocity of 48 feet per second and its height is modeled by the equation h(t) = 48t-16t² where h is the height (in feet) and is the time (in seconds). At what time will the toy rocket reach its maximum height?​

Answer 1

1.5 seconds

Explanation:

The maximum height is the vertex of the parabola.

For y = ax² + bx + c, the vertex is located at x = -b/(2a).

In this case, a = -16 and b = 48.

t = -48 / (2 × -16)

t = 1.5

It takes 1.5 seconds for the rocket to reach the maximum height.