# What is the maximum height reached by the rocket?

Could someone please help me do this question, at least parts B and C?? I already know that the max height is 281.66 m. Thank you!

A model rocket is launched straight upward with an initial speed of 49.5 m/s. It accelerates with a constantupward acceleration of 1.83 m/s^2 until its engines stop at an altitude of 132.0 m.
A.What is the maximum height reached by the rocket?
B.How long after lift-off does it take for the rocket to reach its maximum height?
C.How long is the rocket in the air

Tide
$$h(t) = v_0 t +(a-g)t^2/2$$