Question

A man aims the target at 500 m with a
gun. If the velocity of bullet is 50 m/s.
Find the height from the target where
the man should aim.

Answer 1

Answer on Question 38405, Physics, Mechanics Bullet will path 500 m in

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

In this time it will change its vertical position due to gravity on

$$\Delta y = g t ^ {2} / 2 = \frac {g S ^ {2}}{2 v ^ {2}} = \frac {9 . 8 \cdot 5 0 0 ^ {2}}{2 \cdot 5 0 ^ {2}} = 4 9 0 m$$

Hence, man should aim 490 meters higher.