A Multi-stage Rocket In the first stage

A Multi-stage Rocket 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 rocket fires the second stage, which suddenly boosts its speed tn 132.5 m/s upward. This firing uses up all the fuel, however, so then the only force acting on the rocket is gravity. Air resistance is negligible.
(a) Find the maximum height that the Problems 69 stage-two rocket reaches above the launch pad.
(b) How much time after the stage-two firing will it take for the rocket to fall back to the launch pad?
(c) How fast will the stage-two rocket be moving just as it reaches the launch pad?