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# Derive the equation for the vertical acceleration of a ISBN: 9780130606204 3

## Solution for problem 57PE Chapter 8

Physics: Principles with Applications | 6th Edition

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Problem 57PE

Derive the equation for the vertical acceleration of a rocket.

Step-by-Step Solution:

Step-by-step solution In this problem we have to derive the equation for the vertical acceleration of a rocket. Step 1 of 4 Assume that the mass of the rocket is m to be accelerated with the acceleration of a , then the force needed is, Now, consider the thrust force ; which expel the mass of the rocket in time gets the exhaust velocity . So, the expression of force from newton’s second law will be, Step 2 of 4 Also, there is a force of gravity. Which acts in downward direction is,

Step 3 of 4

Step 4 of 4

##### ISBN: 9780130606204

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