# A gun shoots bullets that leave the muzzle horizontally at a speed of 250 m/s. If the bullet hits a target 100 m away how far will the bullet have fallen?

Nov 7, 2015

$0.784 \text{cm}$

#### Explanation:

Considering the horizontal component of motion enables us to find the time of flight:

$t = \frac{s}{v}$

$t = \frac{100}{250} = 0.04 \text{s}$

From the vertical component we get:

$s = \frac{1}{2} \text{g} {t}^{2}$

$s = \frac{1}{2} \times 9.8 \times {0.04}^{2}$

$s = 0.00784 \text{m"=0.784"cm}$