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Q.

A mosquito is moving with a velocity  v→=0.5t2 i∧+3t j∧+9 k∧m/s and accelerating in uniform conditions. What will be the direction of mosquito after 2s?

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a

tan−152from x-axis

b

tan−123from x- axis

c

cos−1611from y -axis

d

tan−152from y –axis

answer is C.

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Detailed Solution

v→=0.5t2i^+3tj^+9k^At t = 2s,v→=2i^ + 6j^ + 9k^v→=22+62+92=11Hence, v^=v→v→=211i^ + 611j^ + 911k^With y axis, let say angle made is β,cosβ=611⇒β=cos-1611
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A mosquito is moving with a velocity  v→=0.5t2 i∧+3t j∧+9 k∧m/s and accelerating in uniform conditions. What will be the direction of mosquito after 2s?