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?

A graph is shown between velocity an time for the motion of a particle. The area under the curve between the time intervals ${t_1}\,and\,{t_2}$ gives

A person moves 30 m north and then 20 m towards east and finally $30\sqrt 2 \,\,m$ in south-west direction.

The displacement of the person from the origin will be

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

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

Which of the following statements is ALWAYS true?

Consider the motion of the tip of the minutes hand of a clock. In one hour

I. The displacement is zero

II. The distance covered is zero

III. The average speed is zero

IV. The average velocity is zero

A student walks 10 m North, then 10 m East. What is the distance traveled?

An object moves 10 m East, then 10 m West. What is its displacement?

A body is moving along the circumference of a circle of radius '$R$' and completes half of the revolution. Then the ratio of its displacement to distance is