A police van moving on a highway with a speed of 30km/hr, fires a bullet at a theif's car speeding away in the same direction with a speed of 192km/hr. If the muzzle speed of the bullet is 150m/sec. With what speed does the bullet hit the thief's car
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To determine the speed with which the bullet hits the thief's car, we need to consider the relative velocities of both the police van and the thief's car.
First, let's convert the speeds from km/hr to m/s:
- The speed of the police van is 30 km/hr, which is equivalent to (30 * 1000) / 3600 m/s = 8.33 m/s.
- The speed of the thief's car is 192 km/hr, which is equivalent to (192 * 1000) / 3600 m/s = 53.33 m/s.
Since both the police van and the thief's car are moving in the same direction, the relative velocity of the bullet with respect to the thief's car is the difference between their velocities:
Relative velocity = Velocity of thief's car - Velocity of police van
Relative velocity = 53.33 m/s - 8.33 m/s
Relative velocity = 45 m/s
Therefore, the speed with which the bullet hits the thief's car is 45 m/s.