# What is the maximum height of the rocket?

## Homework Statement

A rocket has a body which consists of 0.49kg of material. This body holds 1.47kg of fuel. The fuel is consumed at a rate of 0.49kg/s, and the exhaust speed of the fuel is 60m/s. Assuming that the rocket starts from rest, what is the maximum height the rocket reaches?

## Homework Equations

Note: ∫ln(x)dx = xln(x) - x

## The Attempt at a Solution

None. Don't know where to start.