A police van moving on a highway with a speed of $30 k m h^{-} 1$ fires a bullet at a thief's car speeding away in the same direction with a speed of $192 k m h^{-} 1$ . if the muzzle speed of the bullet is $150 m s^{-} 1$ ,with what speed does the bullet hit the thief's car?

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Solution

Velocity of police $v_{p} = 30 k m / h = \frac{25}{3} m / s$
Velocity of thief $v_{t} = 190 k m / h = \frac{160}{3} m / s$
Velocity of bullet which police is fire $v_{b} = 150 m / s$
final velocity of bullet muzzle from gun $= v_{b} + v_{p} = 150 + \frac{25}{3} = \frac{475}{3} m / s$
Let velocity of thief is Zero and seen with respect to thief. velocity of bullet w.r.t thief $v_{b / t} = v_{b} - v_{t} = \frac{475}{3} - \frac{160}{3} = \frac{315}{3} = 105 m / s$

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A police van moving on a highway with a speed of $30 k m h^{- 1}$ fires a bullet at a thief’s car speeding away in the same direction with a speed of $192 k m h^{- 1}$ . If the muzzle speed of the bullet is $150 m s^{- 1}$ , with what speed does the bullet hit the thief's car? (Note: Obtainthat speed which is relevant for damaging the thief's car).

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A police van moving on a highway with a speed of 30kmh−1 fires a bullet at a thief's car speeding away in the same direction with a speed of 192kmh−1. if the muzzle speed of the bullet is 150ms−1,with what speed does the bullet hit the thief's car?

A police van moving on a highway with a speed of $30 k m h^{-} 1$ fires a bullet at a thief's car speeding away in the same direction with a speed of $192 k m h^{-} 1$ . if the muzzle speed of the bullet is $150 m s^{-} 1$ ,with what speed does the bullet hit the thief's car?