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A mosquito is moving with a velocity \(\vec{v}=0.5{t}^{2}\overset{^}{i}+3t\overset{^}{j}+9\overset{^}{k}m/s\) and accele…

Q1

A mosquito is moving with a velocity \(\vec{v}=0.5{t}^{2}\overset{^}{i}+3t\overset{^}{j}+9\overset{^}{k}m/s\) and accelerating in uniform conditions. What will be the direction of acceleration of mosquito after 2 s ?

[JEE Main 2021, 16 Mar (Shift 2)]

a

\({\tan }^{-1}\left(\frac{2}{3}\right)\)from x-axis

b

\({\tan }^{-1}\left(\frac{5}{2}\right)\)from y-axis

c

\({\tan }^{-1}\left(\frac{5}{2}\right)\)from x-axis

d

\({\tan }^{-1}\left(\frac{2}{3}\right)\)from y-axis

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