Question

A police jeep is chasing with velocity of $45\, km/h$ a thief in another jeep moving with velocity $153\,km/h$. Police fires a bullet with muzzle velocity of $180\,m/s$ The velocity it will strike the car of the thief is:

• A. 150 m/s
• B. 27 m/s
• C. 450 m/s
• D. 250 m/s

Answer 1

Answer: (A)

150 m/s

Answer 2

Here we calculate the relative velocity of Jeep
$=153-45=108 \,km / h$
$=108 \times \frac{5}{18}=30\, m / s$
Therefore, striking speed $=$ relative speed of bullet with respect to thiefs car
$=180-30=150\, m / s$