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A police van moving with a speed of 30km/hr fires a bullet at theives car. theives car speeding in the same direction with a speed of 192km/hr.if the

muzzle speed of bullet is 150m/s. With what speed does it hit theives car?


Speed of van=30 km/hr=8.33m/s
muzzle speed=150m/s\
speed of thief=192km/hr= 53.33m/s
bullet is fired from moving van resultant speed= 150+8.33=158.33m/s
since both vehicles are moving in same direction, velocity which bullet hits the thief= 158.33-53.33= 105m/s
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Velocity of van =30 km/hr== 30 x 5/18=8.3 m/s
muzzle velocity of bullet =150 m/s
velocity of thief =192 x 5/18= 53.3 m/s
total velocity of the bullet= 150 + 8.3 = 158.3 m/s

using relative motion of particles

₁₂ = V₁ - V₂

158.3 - 53.3= 105m/s
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