OnlineCBT
Physics · MOTION IN A STRAIGHT LINE
हिन्दीA police van moving on a highway at \( 30\text{ km/h} \) fires a bullet at a thief's car speeding away in the same direction at \( 192\text{ km/h} \). If the muzzle speed of the bullet is \( 150\text{ m/s} \), with what speed does the bullet hit the thief's car?
Correct answer · Option 3
\( 105\text{ m/s} \)
Explanation
Van speed \( v_v = 30 \times \frac{5}{18} = \frac{25}{3}\text{ m/s} \). Bullet ground speed \( v_b = 150 + \frac{25}{3} = \frac{475}{3}\text{ m/s} \). Thief car speed \( v_t = 192 \times \frac{5}{18} = \frac{160}{3}\text{ m/s} \). Relative hitting speed = \( v_b - v_t = \frac{475}{3} - \frac{160}{3} = \frac{315}{3} = 105\text{ m/s} \).
