Question

A police van moving on a highway with a speed of 30 m/s fires a bullet at a thief’s car speeding away in the same direction with a speed of 192 m/s. If the muzzle speed of bullet is 250 m/s, with what speed does the bullet hit thief’s car?

Answer 1

Answer:

Velocity of police v

p

=30km/h=

3

25

m/s

Velocity of thief v

t

=190km/h=

3

160

m/s

Velocity of bullet which police is fire v

b

=150m/s

final velocity of bullet muzzle from gun =v

b

+v

p

=150+

3

25

=

3

475

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

=

3

475

−

3

160

=

3

315

=105m/s

Explanation:

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