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Q.

A particle is projected from the origin at u→=10i^ m/s. It moves in the xy plane with acceleration a→=3j^−2i^m/s2 when velocity of the particle is parallel to y-axis, its speed is

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a

15 m/s

b

6 m/s

c

18 m/s

d

32 m/s

answer is A.

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Detailed Solution

After time t, velocity is given by V→=u→+a→t=10i^+3j^−2i^t=10−2ti^+3tj^ m/swhen V→ is parallel to y-axis, 10−2t=0⇒t=5 second.∴ V→=3×5 m/s=15 m/s
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