Question

A police jeep is chasing with velocity of $45\, km / h$, a thief in another jeep moving with velocity $153\, km / h$. Police fires a bullet with muzzle velocity of $180\, m / s$. The velocity with which it will strike the car of the thief, is:

• A. 150 m/s
• B. 27 m/s
• C. 450 m/s
• D. 250 m/s

Answer 1

Answer: (A)

150 m/s

Answer 2

The relative velocity of thief 's jeep with respect to police jeep $=153-45$ $=108\, km / h$ $=108 \times \frac{5}{18}$ $=30\, m / s$ Therefore, striking speed = relative, speed of bullet with respect to thief 's car $=180-30$ $=150\, m / s$