Question

Question 3.18 A police van moving on a highway with a speed of 30 km h–1 fires a bullet at a thief’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 thief’s car ? (Note: Obtain that speed which is relevant for damaging the thief’s car).

Chapter Motion In A Straight Line Page 58

Answer 1

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Given,
Speed of the police van Vp =30 km/h
= 30× 5/18 m/s
= 8.33 m/s
speed of the bullet muzzle ( Vb) = 150 m/s

Speed of the thief’s car( Vt) = 192 km/h
= 192×5/18 m/s
= 53.33 m/s

Bullet is fired from a moving van,
Then resultant speed = 150 + 8.33 = 158.33 m/s
Because both the vehicles are moving in the same direction, the velocity with which the bullet hits the thief’s car = speed of bullet with respect to speed of thief's car ( Vbt) = Vb - Vt
= 158.33 – 53.33
= 105 m/s

Answer 2

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Speed of the police van,

v(p) = 30 km/h = 8.33 m/s

Muzzle speed of the bullet,

v(b) = 150 m/s

Speed of the thief’s car,

v(t )= 192 km/h = 53.33 m/s

Since the bullet is fired from a moving van, its resultant speed can be obtained as: = 150 + 8.33 = 158.33 m/s

Since both the vehicles are moving in the same direction, the velocity with which the bullet hits the thief’s car can be obtained as: v(bt) = v(b) – v(t)= 158.33 – 53.33 = 105 m/s

I hope, this will help you

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