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Manipal MET2013PhysicsMotion in One Dimension

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

Options

  1. A150 ~m / s
  2. B27 ~m / s
  3. C450 ~m / s
  4. D250 ~m / s

Correct answer

A. 150 ~m / s

Step-by-step solution

Effective speed of bullet is = Speed of bullet+Speed of police jeep ( aligned & =18 om / s +45 ~km / hr & =18 o +45 5 18 ~m / s & =192.5 ~m / s aligned ) Speed of theif's jeep (=153 ~km / hr =42.5 ~m / s ) Velocity of bullet with respect to theif's jeep (=192.5-42.5 ~m / s ) (=150 ~m / s )

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