Question

A Projectile is shot at a moving target with initial velocity Vo=2000ft/s. The target is moving at 500ft/s and its initial start was (Xo, Yo)= 200',300' at angle phi=15. the weight of the target is 5lbf. Gravity is 32.3 ft/s^2. Find angle theta the projectile would need to be shot to hit the target. No drag. There is the high angle case and low angle

Answer 1

Let the angle with which the projectile is fired be

The horizontal distance covered by the projectile at a time instace t is:

The vertical position of the projectile is

The horizontal and vertical positions of the target are:

At the instance when the projectile hits the target, the horizontal and vertical positions of both the projectile and the target should be the same.

and

=>

Squaring the equations and adding them gives

Taking the positive value for time, t = 0.225777 and equating the hortizontal positions, value of can be calculated.

The angle at which the projectile has to be shot is 46.81° and the impact occurs after 0.22577 seconds.