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KVPY2013PhysicsMotion in One Dimension

Two skaters P and Q are skating towards each other. Skater P throws a ball towards W every 5 ~s such that it always leaves her hand with speed 2 ~ms ⁻¹ with respect to the ground. Consider two cases: (I) P runs with speed 1 ~ms ⁻¹ towards Q while Q remains stationary (II) Q runs with speed 1 ~ms ⁻¹ towards P while P remains stationary. Note that irrespective of speed of P , ball always leaves P's hand with speed 2 ~m

Options

  1. Aone every 2.5 ~s in case (I) and one every 3.3 ~s in case (II)
  2. Bone every 2 ~s in case (I) and one every 4 ~s in case (II)
  3. Cone every 3.3 ~s in case (I) and one every 2.5 ~s in case (II)
  4. Done every 2.5 ~s in case (I) and one every 2.5 ~s in case (II)

Correct answer

A. one every 2.5 ~s in case (I) and one every 3.3 ~s in case (II)

Step-by-step solution

(I) Let initial distance between P & Q is x at t ₁= x 2 a receive the ball. Next ball. array l t₂= x-5 2 +5 t= 5 2 array (II) in second case at t=0 P throws the ball. t₁= x 3 . Next ball array l t₂= x-5 3 +5 t= 10 3 array

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