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Motion In Straight Line

Question
CBSEENPH11026128

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 it will strike the car of the thief is

  • 150 m/s

  • 27 m/s

  • 450 m/s

  • 250 m/s

Solution

A.

150 m/s

Relative velocity is the vector difference between the velocities of two bodies, the velocity of a body with respect to another regarded as being at rest.

Here, we calculate the relative velocity of the jeep:

 153 -45 =108 km/h

km/hour =100060×60=518= 108 ×518 =30 m/s

Therefore, striking speed = relative speed of a bullet with respect to the thief's car:

 180 - 30 = 150 m/s