The figure shows a velocity-time graph of a particle moving along a straight line  The maximum displacement of the particle is  ........ $m$

A swimmer dived off a cliff with a running horizontal leap. What must his minimum speed be just as he leaves the top of the cliff so that he will miss the edge at the bottom ....... $m/s$ is $2\ m$ wide and $10\ m$ belows the top of the cliff .

The position vector of a particle changes with time according to the relation $\vec r\left( t \right) = 15{t^2}\hat i + \left( {4 - 20{t^2}} \right)\hat j$. What is the magnitude of the acceleration at $t = 1$ ?

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

A particle moves $21\, m$ along the vector $6\hat i + 2\hat j + 3\hat k$ , then $14\, m$ along the vector $3\hat i - 2\hat j + 6\hat k$ . Its total displacement (in meters) is

The coordinates of a moving particle at any time are given by $x = a{t^2}$ and $y = b{t^2}$. The speed of the particle at any moment is