$A$ particle moves a distance of $5 \ m$ in the $+x$ direction. Find its displacement.

Mark the wrong statement :-

Does the displacement of an object depend on the choice of the origin of the coordinate system?

When is an object said to be in motion? What is meant by the description of an object's motion?

On an open ground,a motorist follows a track that turns to his left by an angle of $60^{\circ}$ after every $500\; m$. Starting from a given turn,specify the displacement of the motorist at the third,sixth and eighth turn. Compare the magnitude of the displacement with the total path length covered by the motorist in each case.

The position vector of a particle is given by the expression $\vec{r} = 3t^2 \hat{i} + 4t^2 \hat{j} + 7 \hat{k}$. The distance traversed in the first $10 \, s$ is ......... $m$.