A wheel of radius $1$ meter rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is
$2\pi $
$\sqrt 2 \pi $
$\sqrt {{\pi ^2} + 4} $
$\pi$
The ratio of displacement in $n$ second and in the $n^{th}$ second for a particle moving in a straight line under constant acceleration starting from rest is
A person travels along a straight road for half the distance with velocity ${v_1}$ and the remaining half distance with velocity ${v_2}$ The average velocity is given by
The positions of two cars $A$ and $B$ are $X_A = at + bt^2,$ $X_B = ft -t^2$ At what time Both cars will have same velocity
A body falls from a large height. The ratio of distance traveled in each time interval $t_0$ during $t = 0$ to $t = 3\, t_0$ of the journey is
The velocity of bullet is reduced from $200\; m / s$ to $100\; m / s$ while travelling through a wooden block of thickness of $10 \;cm$ . The retardation assuming to be uniform, will be ...........$\times {10^4}\, m/s^2$