An ant crawls along the edges of a cube of side length 'a'. It starts at one corner and reaches the diagonally opposite corner. If the ant only crawls along the edges and takes the shortest possible path, what is the ratio of the distance it crawls to its displacement?

A bee flies in a spiral path described by $r = 2t$ and $heta = \pi t$, where $r$ is in meters, $heta$ is in radians, and $t$ is in seconds. What is the magnitude of the bee's displacement from $t = 0$ to $t = 2$ s?

A particle moves in a circular path of radius R. It completes one and a half revolutions. What is the ratio of the distance traveled to its displacement?

An insect moves $3m\,\,east$, $4m\,\,north$ and $5m$ vertically up. Displacement covered by insect is

A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolly is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1 m/s, then after 4 sec his displacement relative to the ground will be

A cyclist moves in such a way that he track ${60^0}$ turn after 100 m. What is the displacement when to takes seventh turn?

A body travels along a path described by $y = x^2$. What is the ratio of distance to displacement when moving from $(0,0)$ to $(2,4)$?

An object moves in a circle of radius 5 m. After one complete revolution, what is its displacement?

An athlete completes one round of a circular track or radius R in 40 sec. What will be his displacement at the end of 2 min. 20 sec

Which of the following statements is ALWAYS true?

A particle's position vector is given by $\vec{r}(t) = (3t^2 - 2t)\hat{i} + (t^3 - 4)\hat{j}$. At what time $t$ is the particle's displacement from the origin equal to 5 units?