Copyright © Michael Richmond.
This work is licensed under a Creative Commons License.

##
Physics 211, Quiz 8

**
Question 1:
**

A marksman fires a rifle at a target **200 meters** away.
The target is at the same height as the rifle.
The marksman aims straight for the bullseye, pointing his
rifle perfectly horizontal.
The bullet leaves the gun at a speed **v = 400 m/s**.

Where does the bullet strike the target?

Answer: The bullet has a horizontal speed
v(x) = 400 m/s
and so takes
200 m
t = --------- = 0.5 s
400 m/s
to reach the target. During that time, the bullet falls
a vertical distance
(y - yo) = voy * t + 0.5 * a * t^2
= 0 + 0.5 * (-9.8 m/s^2) * (0.5 s)^2
= (-4.9 m/s^2) * (0.25 s^2)
= -1.2 m
So the bullet strikes the target 1.2 meters below the bullseye.

Copyright © Michael Richmond.
This work is licensed under a Creative Commons License.