# Force and Momentum#

The momentum of an object as a function of time is given by $$\vec{p} = ($$-8t^2 + 9t$$)\hat{\imath} + ($$-t^3 + 3t^2 + 3t$$)\hat{\jmath}$$ where $$p$$ is in $$kg\cdot m/s$$ and $$t$$ is in seconds.

## Part 1#

What is the net force on the object at $$t=$$ 3.47 $$s$$?

• 0 N

• (-46.5$$\hat\imath$$ - 12.3$$\hat\jmath$$) N

• (46.5$$\hat\imath$$ + 12.3$$\hat\jmath$$) N

• (-46.5$$\hat\imath$$ + 12.3$$\hat\jmath$$) N

• (46.5$$\hat\imath$$ - 12.3$$\hat\jmath$$) N

• (93.0$$\hat\imath$$ - 12.3$$\hat\jmath$$) N