The length of second's hand in watch is $1 \,cm.$ The change in velocity of its tip in $15$ seconds is
Zero
$\frac{\pi }{{30\sqrt 2 }}\,\,cm/\sec $
$\frac{\pi }{{30}}\,\,cm/\sec $
$\frac{{\pi \sqrt 2 }}{{30}}\,\,cm/\sec $
The equation of a projectile is $y=a x-b x^2$. Its horizontal range is ......
If the initial velocity in horizontal direction of a projectile is unit vector $\hat{i}$ and the equation of trajectory is $y =5 x (1- x )$. The $y$ component vector of the initial velocity is.
(Take $g=10\,m / s ^{2}$ )
The velocity- time graph of a body falling from rest under gravity and rebounding from a solid surface is represented by which of the following graphs?
The coordinates of a moving particle at any time $‘t’$ are given by $ x = \alpha t^3$ and $y = \beta t^3$. The speed of the particle at time $‘t’$ is given by