A man in a car at location Q on a straight highway is moving with speed v. He decides to reach a point $\mathrm{P}$ in a field at a distance $d$ from highway (point $M$ ) as shown in the figure. Speed of the car in the field is half to that on the highway. What should be the distance RM, so that the time taken to reach $\mathrm{P}$ is minimum?

Question:

A man in a car at location Q on a straight highway is moving with speed v. He decides to reach a point $\mathrm{P}$ in a field at a distance $d$ from highway (point $M$ ) as shown in the figure. Speed of the car in the field is half to that on the highway. What should be the distance RM, so that the time taken to reach $\mathrm{P}$ is minimum?

1. $\frac{\mathrm{d}}{\sqrt{3}}$

2. $\frac{\mathrm{d}}{2}$

3. $\frac{\mathrm{d}}{\sqrt{2}}$

4. $\mathrm{d}$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Motion in a Straight Line chapter.

JEE Main Previous Year April 15, 2018

Correct Option: 1

Solution:

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