# An object with a mass of #6 kg# is traveling at #2 m/s#. If the object is accelerated by a force of #f(x) = e^(2x) # over #x in [0, 9]#, where x is in meters, what is the impulse at #x = 6#?

##### 1 Answer

Feb 7, 2016

let's write the impulse equation:

we have a differential equation of the form:

Let

using chain rule

since the object started with a velocity of 2m/s

Evaluate velocity at

Now Impulse,