Derive the equation for the vertical acceleration of a rocket.

Solution 57 PE

Step 1 of 3:

In this question, we need to derive an equation for vertical acceleration of rocket

Step 2 of 3:

We shall consider small mass on which a certain force is acted upon

The acceleration on mass be given by

Thus we get force as

------------------------(1)

Now we need to accelerate this mass in small time interval and at speed

Here the velocity is given by

Rearranging to obtain

-----------------------------(2)

Hence using equation (2) we substitute for acceleration in equation (1)

We get

---------------------------(3)