The co-ordinates of a moving particle at a time $t$, are give by, $x = 5 sin 10 t, y = 5 cos 10t$. The speed of the particle is :

A ball is projected with velocity $V_0$ at an angle of elevation $30^o $ . Mark the correct statement

A ball is rolled off the edge of a horizontal table at a speed of $4\, m/s$. It hits the ground  after $0.4\, sec$. Which statement given below is true?

A stone is tied to a string of length $L$ is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has a speed $u.$ The magnitude of the change in its velocity as it reaches a position where the string is horizontal is

A particle is moving on a circular path of radius $r$ with uniform velocity $v$. The change in velocity when the particle moves from $P$ to $Q$ is $(\angle POQ = {40^o})$

A point $P$ moves in counter clock wise direction on a circular path as shown in figure.  The movement of $'P'$ is such that it sweeps out a length $S = t^3 + 5$, where $'S'$ is in meter and $t$ is in seconds. The radius of the path is $20\, m$. The acceleration of $'P'$ when $t = 2\, sec$. is nearly     ......... $m/s^2$