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99 Percentile Qs Bank for JEE MainPhysicsMotion in One Dimension

A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocity 30  km hr - 1 and 40  km hr - 1 respectively. The velocity of the car midway between P and Q is

Options

  1. A25 2  km hr - 1
  2. B35  km hr - 1
  3. C33.3  km hr - 1
  4. D20 2  km hr - 1

Correct answer

A. 25 2  km hr - 1

Step-by-step solution

Let P Q = x , then u   =   40 2   −   30 2 2 x   =   350 x   [   ∵   v 2   =   u 2   +   2 a s ] At midway, displacement = x 2 , applying the same equation Also, velocity at mid-point is given by v 2   −   30 2   =   2 × 350 x × x 2 v   =   25 2  km hr - 1

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