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KVPY SA Exam 2013 Question Paper
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© examsnet.com
Question : 67
Total: 80
Two skaters P and Q are skating towards each other. Skater P throws a ball towards Q 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
ms
−
1
with respect to the ground. Ignore gravity. Balls will be received by Q
one every 2.5 s in case (I) and one every 3.3 s in case (II)
one every 2 s in case (I) and one every 4 s in case (II)
one every 3.3 s in case (I) and one every 2.5 s in case (II)
one every 2.5 s in case (I) and one every 2.5 s in case (II)
Validate
Solution:
(I) Let initial distance between P & Q is x
at
t
1
=
x
2
a receive the ball.
Next ball
t
2
=
x
−
5
2
+
5
Δ
t
=
5
2
(II) in second case
at t = 0 P throws the ball.
t
1
=
x
3
Next ball
t
2
=
x
−
5
3
+
5
Δ
t
=
10
3
© examsnet.com
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