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## Homework Statement

An object of mass ##5##kg is released from rest ##1000##m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant ##b=50##N-sec/m, determine the equation of motion (for the position ##x(t)##) of the object.

## Homework Equations

$$m\frac{dv}{dt} = mg-kv$$

## The Attempt at a Solution

The given differential equation describes the velocity with respect to time. How do I turn it into a differential equation that describes the position with respect to time?