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MHT CET202411 May 2024Evening ShiftPhysicsMotion in One DimensionActual

Two cars start from a point at the same time in a straight line and their positions are represented by x ₁( t )= at + bt ^2 and x ₂( t )= Ft - t ^2 . At what time do the cars have the same velocity?

Options

  1. Aa+F 2(b-1)
  2. Ba - F 1+ b
  3. Ca + F 2(1+ b )
  4. DF - a 2(1+ b )

Correct answer

D. F - a 2(1+ b )

Step-by-step solution

aligned & Velocity v= d x d t & v_P= d x_P d t =a+2 b t & v_Q= d x_Q d t =F-2 t & a v_P=v_Q ...(given) & a+2 b t=F-2 t & (2+2 b) t=F-a t= F-a 2(1+b) aligned

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