Distance And Displacement - Practice Questions & MCQ

Calculate the path length of a semicircular path having a radius $r$

Assertion: For unidirectional movement of an object, displacement > distance.

Reason: For unidirectional movement of an object, displacement = distance.

A particle moves from A to C by path ABC is shown in the given diagram. The displacement of the particle is

                             6 m

Which of the following statement is true for displacement of a moving object? 

A container is kept in a moving bus.

Direction: In the following question, a statement of Assertion (A) is followed by a statement of reason (R). Mark the correct choice as :

Assertion: displacement  of the particle is the shortest distance between the initial and final position but distance is the actual length of the path 

Reason: Displacement is the vector quantity but distance is a vector quantity

If the displacement of a particle is zero, distance covered :

The position vector of a particle is $\vec{r}=2 t^2 \hat{i}+3 t \hat{j}+4 \hat{k}$
Then the displacement of the particle in time interval $t=0$ to $t=1 \mathrm{~s}$

In the following cases, mark the correct answer(s):

A particle is completing one cycle in an elliptical path with a semi-major axis and semi-minor axis equal to 2m and 1m respectively. Then find the distance and displacement covered during one complete cycle.

[ use perimeter $=2 \pi \sqrt{\frac{a^2+b^2}{2}}$, where $\mathrm{a}=$ semi - major axis and $\mathrm{b}=$ semi - minor axis]