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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

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detailed solution

Correct option is A

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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