Slader question: a model rocket is launched straight upward with an initial speed of 50m/s. iit accelerates with a constant upward acceleration of 2.0 m/s^2 until its engine stops at an altitude of 150m. calculate the maximum heigght reached by the rocket and how long the rocket is in the air.

Maximum height reached by the rocket is

total time of the motion of rocket is given as

Explanation:

Initial speed of the rocket is given as

acceleration of the rocket is given as

engine stops at height h = 150 m

so the final speed of the rocket at this height is given as

so maximum height reached by the rocket is given as the height where its final speed becomes zero

so we will have

Now the total time of the motion of rocket is given as

1) time to reach the height of 150 m

2) time to reach ground from this height

so total time of the motion of rocket is given as