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Q.

A police jeep is chasing with velocity of 45 kmh-1, a thief in another jeep moving with velocity 153 kmh-1. Police fires a bullet with muzzle velocity of 180 ms-1. The velocity with which it will strike the car of the thief is [EAMCET 2014]

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a

150 ms-1

b

27 ms-1

c

450 ms-1

d

250 ms-1

answer is A.

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Detailed Solution

Let vPG = velocity of police w.r.t. ground,
      vTG = velocity of thief w.r.t. ground,.
      vTP = velocity of thief w.r.t. police =vTG-vPG

             =153-4518×5=30 ms-1

      vBC = velocity of bullet w.r.t. car
             = 180 - 30 = 150 ms-1

 

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