A mosquito is moving with a velocity $\overrightarrow{ v }=0.5 t ^{2} \hat{ i }+3 t \hat{ j }+9 \hat{ k }\, m / s$ and accelerating in uniform conditions. What will be the direction of mosquito after $2 \,s$ ?
$\tan ^{-1}\left(\frac{2}{3}\right)$ from $x-$ axis
$\tan ^{-1}\left(\frac{2}{3}\right)$ from $y$ -axis
$\tan ^{-1}\left(\frac{5}{2}\right)$ from $y$ -axis
$\tan ^{-1}\left(\frac{5}{2}\right)$ from $x$ -axis
The position of a particle moving in the $xy-$ plane at any time $t$ is given by $x = (3t^2 -6t)\, metres$, $y = (t^2 -2t)\,metres$. Select the correct statement about the moving particle from the following
A body starts from rest from the origin with an acceleration of $6 \;m / s^2$ along the $x$-axis and $8\; m / s^2$ along the $y$-axis. Its distance from the origin after $4\; seconds$ will be
Explain average velocity ,instantaneous velocity and components of velocity for motion in a plane.
The acceleration of a body in a non-uniform circular motion is $5\, ms^{-2}$. Which one of the following is correct?