   Chapter 2, Problem 53P

Chapter
Section
Textbook Problem

A model rocket is launched straight upward with an initial speed of 50.0 m/s. It accelerates with a constant upward acceleration of 2.00 m/s2 until its engines stop at an altitude of 150. m. (a) What can you say about, the motion of the rocket alter its engines stop? (b) What is the maximum height reached by the rocket? (c) How long after liftoff does the rocket reach its maximum height? (d) How long is the rocket in the air?

(a)

To determine
The motion of the rocket after the engines stop.

Explanation

The motion of the rocket can be determined using the acceleration of the rocket.

When the rocket moves upwards, then the engines forces the rocket to move upwards. When there is no external force acting on the rocket, the rocket is moving under the gravitational force. The magnitude of the acceleration acting on the rocket is the acceleration due to gravity. The acceleration due to gravity acts always downwards.

When the engine stops, the rocket starts moves under the acceleration due to gravity and which is opposite to the direction of the motion. This will slow down the rocket...

(b)

To determine
The maximum height the rocket reaches.

(c)

To determine
The time taken by the rocket to reach the maximum height.

(d)

To determine
The total time the rocket stays in air.

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