EASYVIT - VITEEE 2025
National level exam conducted by VIT University, Vellore | Ranked #11 by NIRF for Engg. | NAAC A++ Accredited | Last Date to Apply: 31st March | NO Further Extensions!
Distance And Displacement - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
-
32 Questions around this concept.
Solve by difficulty
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
JEE Main 2025: Admit Card Link | Study Plan | Official Question Paper (Session 1)
JEE Main 2025: Sample Papers | Mock Tests | PYQs | High Scoring Topics | College Predictor
New: Meet Careers360 experts in your city and get guidance on shortlisting colleges
Apply to TOP B.Tech /BE Entrance exams: VITEEE | MET | AEEE | BITSAT
Which of the following statement is true for displacement of a moving object?
A container is kept in a moving bus.
A particle is moving along north after moving for 2 sec with a speed of 4 m/s, its speed becomes 5m/s.What is its displacement (in meters) at end of 7 sec
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 $t=1 \mathrm{~s}$
JEE Main 2025 - 10 Full Mock Test
Aspirants who are preparing for JEE Main can download JEE Main 2025 mock test pdf which includes 10 full mock test, high scoring chapters and topics according to latest pattern and syllabus.
Download EBookIn the following cases, mark the correct answer(s):
Concepts Covered - 1
Distance and displacement
-
Position vector
-
The position of a point, in space, is an important physical quantity which is also known as position vectors.
- Representation of position vector $\vec{r}=x \hat{i}+y \hat{j}+z \hat{k}$
- Its magnitude is the distance between the initial point (tail) and the final point (head).Jenerally, we take initial point as origin)
- Its direction is from the initial point and the final point.Magnitude of $r=\sqrt{x^2+y^2+z^2}$
- E.g. If $\vec{A}=3 \hat{i}-4 \hat{j}+2 \hat{k}$ then its magnitude$$
\begin{aligned}
& =\sqrt{(3)^2+(-4)^2+(2)^2} \\
& =\sqrt{9+16+4} \\
& a=\sqrt{29}
\end{aligned}
$$2. Distance or Path length
- Length of the actual path between the initial and final positions of the body.
- E.g. Distance travelled along a circle for one complete rotation is $2 \pi r$
- Tips of distance,,
-
Distance is a scalar quantity.
-
It is always positive.
-
S.I. Unit: meter (m).
-
Dimension [L]
-
Distance is depend on the path followed by the body.
-
Displacement
-
The shortest path is between the initial and final positions.
-
Tips for Displacement.
-
Displacement is a vector quantity.
-
It can be positive, zero or negative.
-
Displacement is independent of path.
-
S.I. unit: Meter (m)
-
Dimension (L)
-
The magnitude of Displacement $\leqslant$ Distance.
- E.g. For Semi circleDistance $=\pi r$ while Displacement $=2 r$
Study it with Videos
Distance and displacement"Stay in the loop. Receive exam news, study resources, and expert advice!"
Get Answer to all your questions
JEE Main Articles
Apr 01, 2025
Back to top