Q16 / 72 · NTA Abhyas (JEE Main) 2020 · Physics · Motion In Two Dimensions

Two stones are thrown up simultaneously from the edge of cliff with initial speeds v and 2v. The relative position of the second stone with respect to first varies with time till both the stones strike the ground as

  • A
    Linearly
  • Correct answer
    B
    First linearly then parabolically
  • C
    Parabolically
  • D
    First parabolically then linearly

Solution

Initially when both are in air, the relative acceleration between them is zero. Therefore, relative position verus-time graph is a straight line.

S1=vt-12gt2

S2=2vt-12gt2

S21=S2-S1

S21=vt

Once the first ball reaches the ground, its acceleration becomes zero. Therefore, the relative acceleration is now g and the graph is parabolic.

S2=2vt-12gt2

Hence, the correct answer is option: 'B'.

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