The magnitude of the displacement is equal to the distance covered in a given interval of time if the particle

The ratio of displacement to distance for a moving particle is

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.

Explain frame of reference.

The position of a body moving along the $x$-axis at time $t$ is given by $x = (t^2 - 4t + 6) \, m$. The distance travelled by the body in the time interval $t = 0$ to $t = 3 \, s$ is ...... $m$.

Explain path length.