A police van moving on a highway with a speed of `30 km h^(-1)` Fires a bullet at a thief's car speeding away in a same direction with a speed of `192 km h^(-1)`. If the muzzle speed of the buller is `150 m s^(-1)`, with what speed does the bullet hit thief's car? .
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Explanation

Speed of the police van,`v_p` = 30 km/h = 8.33 m/s
Muzzle speed of the bullet, `v_b` = 150 m/s
Speed of the thief’s car, `v_t` = 192 km/h = 53.33 m/s
Since the bullet is fired from a moving van, its resultant speed can be obtained as:
= 150 + 8.33 = 158.33 m/s
Since both the vehicles are moving in the same direction, the velocity with which the bullet hits the thief’s car can be obtained as:
`v_(bt) = v_b – v_t`
= 158.33 – 53.33 = 105 m/s