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  4. 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:

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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:

ManipalManipal 2006Motion in a Plane

Solution:

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