Model Rocket Launch: Maximum Height, Time, and Duration Calculations

[Zacharrry]

Homework Statement

A model rocket is launched straight upward with an initial speed of 50.0 m/s. It accelerates with a constant upward acceleration of 1.50 m/s2 until its engines stop at an altitude of 110 m.
(a) What is the maximum height reached by the rocket?
(b) How long after lift-off does the rocket reach its maximum height?
(c) How long is the rocket in the air?

Homework Equations

One of the "big four" kinematics equations.

The Attempt at a Solution

I am having difficult setting the problem up and finding an answer for each of the questions.

 

[Merlin3189]

Consider the two parts of flight separately.

For the first part you need to find the time and the speed at 110 m

When you have that speed, you can tackle the second part of the flight and find that time.

I would sketch a diagram and mark in what you know and what you need to know at the specified points - ground, 110 m and top.