A car travels $6 \mathrm{km}$ towards north at an angle of $45°$ to the east and then travels distance of $4 \mathrm{km}$ towards north at an angle of $135°$ to the east. How far is the point from the starting point? What angle does the straight line joining its initial and final position make with the east?

A particle moves along $x-$axis as $x=4\left(t-2\right)+a{\left(t-2\right)}^2$. Which of the following is true? Here $a$ is a positive constant.

A particle is moving along a straight line whose velocity displacement curve is as shown in figure.

What will be the acceleration of particle when its displacement is $3 \mathrm{m}?$

The displacement time graph of a moving particle is shown below.

The instantaneous velocity of the particle is negative at the point