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**1. 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?

**2. Homework Equations**

Note: ∫ln(x)dx = xln(x) - x

**3. The Attempt at a Solution**

None. Don't know where to start.