Question

In an experiment on measuring the range of bullet, bullet was fired from gun at angles 30°, 37", 42 and 53 with same muzzle speed. In which case you expect the maximum range of the bullet? 30° O 37° O 42° 53°​

Answer 1

Shooting at an angle of 42° will give the maximum range.

It can be easily understood by the concept of Projectile Motion. It involves the study of maximum height, range, and time.

So in Projectile Motion, the formula for the maximum range is,

                                  $R_{max}=\frac{u^2sin2\theta}{g}$

It is given that the speed of the muzzle is same for every shot and the force of gravity is the same for every object. So, the only depending factor here is,

                                             $sin2\theta$

It is known that the value of the sine function ranges between 1 and -1.

Hence by putting the value of thetas,

                                 $sin(2(30)) = sin(60) =0.86\\sin(2(37))=sin(74)=0.96\\sin(2(42))=sin(84)=0.99\\sin(2(53))=sin(106)=0.96$

the maximum value comes for the 42° angle. So it will give the maximum range.