Question

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

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

Answer 1

The correct option is A $150m/s$

Effective speed of bullet is = Speed of bullet+Speed of police jeep

$=180m/s+45km/hr$

$=180+45\times \frac{5}{18}m/s$

$=192.5m/s$

Speed of theif's jeep $=153km/hr=42.5m/s$

Velocity of bullet with respect to theif's jeep $=192.5-42.5m/s$

$=150m/s$