Question

Two tanks are engaged in a training exercise on level ground. The first tank fires a paint-filled training round with a muzzle speed of 232 m/s at an angle 10.4 ∘ above the horizontal while advancing toward the second tank with a speed of 17.0 m/s relative to the ground. The second tank is retreating at a speed of 33.0 m/s relative to the ground, but is hit by the shell. You can ignore air resistance and assume the shell hits at the same height above ground from which it was fired.

Answer 1

Let the distance between them be at the time of firing the bullet.

Speed of projection of bullet

Speed of first tank

Horizontal component of velocity of bullet relative to ground

Vertical component of velocity of bullet relative to ground

Time of flight of bullet

Horizontal distance traveled by bullet  

Distance traveled by second tank during this time

Initial distance between tanks

Final distance between tanks