In the first stage of a two-stage
rocket, the rocket is fired from the launch pad starting from rest but
with a constant acceleration of 3.50 m/s2 upward. At 25.0 s after launch,
the second stage fires for 10.0 s, which boosts the rocket’s velocity to
132.5 m/s upward at 35.0 s after launch. This firing uses up all of the
fuel, however, so after the second stage has finished firing, the only
force acting on the rocket is gravity. Ignore air resistance. Find the
maximum height that the stage-two rocket reaches above the launch
pad.

In the first stage of a two-stage
rocket, the rocket is fired from the launch pad starting from rest but
with a constant acceleration of 3.50 m/s2 upward. At 25.0 s after launch,
the second stage fires for 10.0 s, which boosts the rocket’s velocity to
132.5 m/s upward at 35.0 s after launch. This firing uses up all of the
fuel, however, so after the second stage has finished firing, the only
force acting on the rocket is gravity. Ignore air resistance. How much time after the end of the stage-two firing will it take
for the rocket to fall back to the launch pad?