# An object with a mass of #4 kg# is traveling at #1 m/s#. If the object is accelerated by a force of #f(x) = x^2 -x +1 # over #x in [1, 9]#, where x is in meters, what is the impulse at #x = 2#?

##### 1 Answer

#### Answer:

**Impulse**

#### Explanation:

**Impulse-Momentum Theorem**:

To calculate the **Impulse** ( **change in momentum** ( **momentum** (**kinetic energy** (

Therefore

**Work-Energy Theorem**: The total work done by all the forces acting on the object must be equal to the change in its kinetic energy

Now we are ready to evaluate the impulse: