Question

A boy aims a target at a horizontal distance of 60m.if the muzzle speed of bullet is 600 m/s.then the height above the target which he should aim is....

Answer 1

Answer on Question #48556, Physics, Mechanics - Kinematics - Dynamics

A boy aims a target at a horizontal distance of 60m. if the muzzle speed of bullet is 600 m/s. then the height above the target which he should aim is...

Solution

Flight time of a bullet is

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

During this time the bullet will change the height:

$$h = \frac {g t ^ {2}}{2} = \frac {g \left(\frac {s}{v}\right) ^ {2}}{2} = \frac {g s ^ {2}}{2 v ^ {2}}$$

The height above the target which he should aim is

$$h = \frac {9.8 \frac {m}{s ^ {2}} \cdot (60m) ^ {2}}{2 \cdot \left(600 \frac {m}{s}\right) ^ {2}} = 0.049m$$

Answer: $h = 0.049m$

http://www.AssignmentExpert.com/