Question

A rocket is launched from ground level with an initial vertical velocity (v0) of 176 ft/s. After how many seconds will the rocket hit the ground? (Hint: h(t) = -16t2 + v0t + h0).

explain.

Answer 1

We know that v0 is 176 ft/s and h0 is 0 because the rocket is at ground level before launch.
h(t) will also equal 0 when the ground hits the ground. We substitute these values:
0 = -16t² + 176t
Solving the equation,
t = 0; t = 11 seconds

The rocket starts from the ground, t = 0, and comes back to the ground at t = 11 seconds.