# Question #33891

##### 1 Answer

#### Explanation:

I will consider the motion in two stages.

**1.** **The Powered Stage**

To get the final velocity at the end of the powered stage we can use:

This becomes:

To find the height **h** reached we can use:

This becomes:

**2. The Unpowered Stage**

The rocket is now moving under the influence of gravity.

We can use:

I will use the convention that "up is positive".

The equation becomes:

Applying the quadratic formula:

Ignoring the -ve root:

To get the total time of flight