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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 the same direction with a speed of 192 km h–1 . If the muzzle speed of the bullet is 150 m s–1 , with what speed does the bullet hit the thief’s car? (Note: Obtain that speed which is relevant for damaging the thief’s car). |
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Answer» Speed of the police van, vp = 30 km/h = 8.33 m/s Muzzle speed of the bullet, vb = 150 m/s Speed of the thief’s car, vt = 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: vbt = vb – vt = 158.33 – 53.33 = 105 m/s |
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