a rocket initially at rest, is fired vertically with an upward acceleration of 10ms/s. at an altitude of 0.5km, the engine of the rocket cuts off. what is the maximum altitude reached by the rocket ?

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a rocket initially at rest, is fired vertically with an upward acceleration of 10ms/s. at an altitude of 0.5km, the engine of the rocket cuts off. what is the maximum altitude reached by the rocket ?

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Step 1

In the provided question the motion of the rocket is divided into 2 parts.

Part 1. The motion of the rocket with acceleration 10 m/s2.

The velocity of the rocket as a function of position can be expressed as:

Step 2

Part 2: The engine of the rocket is cutoff that is the motion is free fall. In free fall motion the acceleration is same as acceleration due to gravity (-9.8 m/s2).

In the second part of motion the final velocity of the motion...

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