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JEE Main 201815 April
Exam
JEE Main
Year
2018
Date
15 April
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2018 · 15 April · Physics · Motion in One Dimension

An automobile, traveling at 40km h ^ - 1 , can be stopped at a...

An automobile, traveling at 40kmh−140km{h}^{- 1}, can be stopped at a distance of 40m40m by applying brakes. If the same automobile is traveling at 80kmh−180km{h}^{- 1}, the minimum stopping distance in metres is (Assume no skidding):

Options

  1. A150m150m
  2. B100m100m
  3. C75m75m
  4. D160m160m

Correct answer

D. 160m160m

Step-by-step solution

S=u22aS = \dfrac{{u}^{2}}{2a}
S1S2=u12u22⇒S2=(u2u1)2S1=(2)2(40)=160m\dfrac{{S}_{1}}{{S}_{2}} = {u}_{1}^{2}{u}_{2}^{2} ⇒ {S}_{2} = {\left(\dfrac{{u}_{2}}{{u}_{1}}\right)}^{2}{S}_{1} = {\left(2\right)}^{2}\left(40\right) = 160m
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