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Manipal MET2024PhysicsMotion in One Dimension

Two points move in the same straight line starting at the same moment from the same point in it. The first moves with constant velocity u and the second with constant acceleration f . During the time elapses before the second catches, the first greatest distance between the particle is

Options

  1. Au f
  2. Bu^2 2 f
  3. Cf 2 u^2
  4. Df u^2

Correct answer

B. u^2 2 f

Step-by-step solution

The greatest distance between the particles will be at the moment when velocity of both particles gets equal ( ) Using (v=u+a t ), for acceleratod particle ( aligned & u=0+(F)(t) & t= u (F) aligned ) Distance travelled by accelerated in time (t ), ( aligned D₁ & =O+ 1 2 (F) ( u F )^2 D₁ & = u^2 2 F aligned ) Distance travelled by constantly moving particle, ( aligned & D₂=(u) ( u F )+ 1 2 (0) ( u F )^2 & D₂= u^2 F aligned ) Greatest distance between two particles ( gathered D= u^2 f - u^2 2 f D= u^2 2 f gathered )

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