A thief's car is moving with a speed of 10,m/ | vedclass

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(C) Let the direction of the thief's car be positive.Velocity of the thief's car with respect to the ground: $v_{TG} = 10\,m/s$.Velocity of the police

Vedclass · Accepted Answer

$15$

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(C) Let the direction of the thief's car be positive.Velocity of the thief's car with respect to the ground: $v_{TG} = 10\,m/s$.Velocity of the police van with respect to the ground: $v_{PG} = 5\,m/s$.Muzzle velocity of the bullet with respect to the police van: $v_{BP} = 72\,km/h = 72 	imes \frac{5}{18} = 20\,m/s$.Velocity of the bullet with respect to the ground: $v_{BG} = v_{BP} + v_{PG} = 20 + 5 = 25\,m/s$.Velocity of the bullet with respect to the thief's car: $v_{BT} = v_{BG} - v_{TG} = 25 - 10 = 15\,m/s$.Thus,the bullet hits the car with a speed of $15\,m/s$.

$A$ thief's car is moving with a speed of $10\,m/s$. $A$ police van chasing this car with a speed of $5\,m/s$ fires a bullet at the thief's car with a muzzle velocity of $72\,km/h$. Find the speed with which the bullet will hit the car in $m/s$.

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