A rocket is launched straight up with constant acceleration. Four seconds after liftoff, a bolt falls off the side of the rocket. The bolt hits the ground 6.40 s later.

Question

What is the rocket's acceleration?

Answer 1

Figure the vertical velocity and height the bolt when it breaks off, in terms of a.

Then, using that hi, and vi, you can figure a from that equation.

hf=hi+Vi*time-1/2 g time^2 you know Vi, Hi in terms of a, and hf=0

There is a little algebra in this.