Name:

Alison Martinez

used

AP Physics I Problem Set $37$

An archer shoots an arrow toward a $300$ g target that is sliding toward her at a speed of $2\mathrm{.}5\frac{m}{s}$ on a smooth, slippery surface. The $22\mathrm{.}5$ g arrow is shot with a speed of $35\frac{m}{s}$ and passes through the target, which is stopped by the impact.

$($a$)$ Calculate the magnitude and direction of the arrow's velocity after it passes through the target.

$($b$)$ Check the reasonability of the answer to $($a$)$ by comparison within the problem $-$ i$.$e$.$ base thought experiment, should the arrow speed up or slow down? And in which direction st arrow be moving? Did your calculation support those conclusions?