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JIPMER 2005
Exam
JIPMER
Year
2005
Subject
Physics
Chapter
Motion in One Dimension

JIPMER 2005 · Physics · Motion in One Dimension

A police jeep is chasing with velocity of 45 ~km / h . A thief in...

A police jeep is chasing with velocity of 45 km/h45 \mathrm{~km} / \mathrm{h}. A thief in another jeep moving with velocity 153 km/h153 \mathrm{~km} / \mathrm{h}. Police fires a bullet with muzzle velocity of 180 m/s180 \mathrm{~m} / \mathrm{s}. The velocity it will strike the car of the thief is

Options

  1. A150 m/s150 \mathrm{~m} / \mathrm{s}
  2. B27 m/s27 \mathrm{~m} / \mathrm{s}
  3. C450 m/s450 \mathrm{~m} / \mathrm{s}
  4. D250 m/s250 \mathrm{~m} / \mathrm{s}

Correct answer

A. 150 m/s150 \mathrm{~m} / \mathrm{s}

Step-by-step solution

Effective speed of bullet is == Speed of bullet + Speed of police jeep =18om/s+45 km/hr=180+45×518 m/s=192.5 m/s\begin{aligned} & =18 \mathrm{om} / \mathrm{s}+45 \mathrm{~km} / \mathrm{hr} \\ & =180+45 \times \frac{5}{18} \mathrm{~m} / \mathrm{s} \\ & =192.5 \mathrm{~m} / \mathrm{s} \end{aligned}) Speedofoftheifs jeep (=153 \mathrm{~km} / \mathrm{hr}=42.5 \mathrm{~m} / \mathrm{s}) Velocity of bullet with respect to theif's jeep (=192.5-42.5 \mathrm{~m} / \mathrm{s}) (=150 \mathrm{~m} / \mathrm{s})$
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