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:

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

Tardigrade Admin · Accepted Answer

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

Q. 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 with which it will strike the car of the thief, is:

150 m/s

27 m/s

450 m/s

250 m/s

The relative velocity of thief 's jeep with respect to police jeep =153−45 =108km/h =108×185​ =30m/s Therefore, striking speed = relative, speed of bullet with respect to thief 's car =180−30 =150m/s

Q. 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:

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
$= 180 - 30$
$= 150 m / s$