# A police van moving on a highway with a speed of 30 km h-1 fires a bullet at a thiefâ€™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 thiefâ€™s car?

$\begin{array}{l} \text { Speed of police van = } 30 km / h =30 \times \frac{5}{18}=\frac{25}{3} m / s\\ \\ \text { Speed of thief }=192 km / h =192 \times \frac{5}{18}=\frac{160}{3} m / s\\ \\ \text { Speed of bullet when it is fired }=\frac{25}{3}+150=\frac{475}{3} m / s\\ \\ \text { Relative speed of bullet wrt thief }=\frac{475}{3}-\frac{160}{3}=\frac{315}{3}=105 m / s \end{array}$

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