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JEE Main201815 Apr 2018Morning ShiftPhysicsMotion in One DimensionActual

An automobile, travelling at 40 ~km / h , can be stopped at a distance of 40 ~m by applying brakes. If the same automobile is travelling at 80 ~km / h , the minimum stopping distance, in metres, is (assume no skidding)

Options

  1. A75 ~m
  2. B160 ~m
  3. C100 ~m
  4. D150 ~m

Correct answer

B. 160 ~m

Step-by-step solution

According to question, u₁=40 ~km / h , v₁=0 and s₁=40 ~m using v^2-u^2=2 a s ; 0^2-40^2=2 a 40 ..(i) Again, 0^2-80^2=2 as From eqn. (i) and (ii) Stopping distance, s=160 ~m

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