Physics · 2018
JEE Main · 15 April 2018, Shift 2 · Q2
A man in a car at location Q on a straight highway is moving with speed v. He decides to reach a point P in a field at a distance d from the highway…
A man in a car at location Q on a straight highway is moving with speed $\displaystyle v$. He decides to reach a point P in a field at a distance d from the 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 P is minimum ?

Official answer
(4)
$\displaystyle \frac{\mathrm{d}}{\sqrt{3}}$
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JEE Main 2018 Physics question, with the answer from NTA’s final answer key. Where our answers come from.