The best representing velocity -time ($$v-t$$) graph corresponding to displacement -time ($$s-t$$ ) graph shown is
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Kinematics in one dimension is the entry point to Mechanics and one of the most important foundational chapters in JEE Physics. It builds the core ideas of displacement, velocity, and acceleration that every later mechanics chapter depends on. Because the concepts are intuitive yet lend themselves to a wide variety of question formats, JEE Kinematics One Dimensional Motion questions appear regularly in JEE Main and underpin many problems in JEE Advanced. This chapter covers motion along a straight line, the equations of motion under constant acceleration, motion under gravity, and graphical analysis of position, velocity, and acceleration. JEE Main favours direct equation-based and graph-interpretation questions, while JEE Advanced often hides 1D kinematics inside larger multi-concept problems involving variable acceleration or constraints. Practising topic-wise JEE Questions trains you to read motion graphs quickly and apply the right equation without hesitation, building the speed that the Physics section demands.
The best representing velocity -time ($$v-t$$) graph corresponding to displacement -time ($$s-t$$ ) graph shown is
To find the velocity-time graph, we need to remember that velocity is given by the slope of the displacement-time graph.
$$$v=\frac{ds}{dt}$$$
In the first horizontal segment, the displacement does not change with time. So, its slope is zero and hence, $$v=0$$.
In the rising segment, the displacement increases uniformly with time. Therefore, the slope is positive and constant, say $$v=a$$.
In the steep falling segment, the displacement decreases rapidly. So, the slope is negative and has a larger magnitude, say $$v=-b$$.
In the next horizontal segment, the displacement is constant again, so $$v=0$$.
In the final falling segment, the displacement decreases with a smaller negative slope. Hence, $$v=-c$$.
Therefore, the velocity changes as $$$0\rightarrow a\rightarrow-b\rightarrow0\rightarrow-c$$$.Hence, the correct answer is $$B$$.
Parameter | Details |
|---|---|
Topic Name | Kinematics - One Dimensional Motion |
Subject | Physics |
JEE Main Weightage | ~3-5% (1-2 questions on average) |
JEE Advanced Weightage | ~3-5% (often within larger problems) |
Difficulty Level | Easy to Moderate |
Important Concepts | Equations of Motion, Motion Under Gravity, Motion Graphs, Relative Motion in 1D |
Recommended Practice Level | High - attempt 60+ mixed problems |
Concept | Importance | Difficulty Level | Frequently Asked In |
|---|---|---|---|
Equations of Motion | Very High | Easy | JEE Main and Advanced |
Motion Under Gravity | Very High | Easy-Moderate | JEE Main |
Velocity-Time and Position-Time Graphs | Very High | Moderate | JEE Main and Advanced |
Relative Velocity in 1D | High | Moderate | JEE Main and Advanced |
Variable Acceleration (Calculus-based) | High | Moderate-High | JEE Advanced |
Average vs Instantaneous Quantities | Moderate | Easy | JEE Main |
Distance vs Displacement | High | Easy-Moderate | JEE Main |
Concept learning: Build a firm understanding of displacement, velocity, and acceleration as vector quantities along a line. Internalise the three equations of motion and the precise conditions under which they apply: constant acceleration only. Extend this to motion under gravity, treating upward and downward phases separately with a consistent sign convention.
Formula revision: Keep the equations of motion, the motion-under-gravity relations, and the calculus definitions for variable acceleration ready for quick review. Pairing this with structured JEE Online Coaching helps you reinforce derivations, clear conceptual doubts on graph-based problems, and build the systematic solving approach that 1D kinematics rewards.
Problem-solving techniques: For graph questions, read slope as rate of change and area as accumulated quantity. For variable acceleration, switch to calculus rather than forcing the constant-acceleration equations. For relative motion, subtract one object's velocity from the other to work in a single reference frame.
Common mistakes: Applying constant-acceleration equations to variable-acceleration problems, sign errors in upward versus downward motion, misreading graph axes, and confusing distance with displacement in graph-area calculations.
Exam strategy: Solve direct equation and graph questions first, then reserve calculus-heavy variable-acceleration and relative-motion problems for later in the Physics section.
Exam | Average Questions | Expected Marks |
|---|---|---|
JEE Main | 1-2 | 4-8 |
JEE Advanced | 1-2 (often combined) | 4-8 |
One-dimensional kinematics is a steady contributor in JEE Main and a recurring component of larger mechanics problems in JEE Advanced. Strong fundamentals here translate into faster solving across the entire Mechanics unit.
Reinforcing these techniques with a timed JEE Mock Test builds the speed needed to clear easy questions quickly and allocate time to harder problems.
JEE Kinematics 1D questions test concepts such as straight-line motion, equations of motion, motion under gravity, relative motion, and displacement-time, velocity-time, and acceleration-time graphs. These topics are frequently asked in both JEE Main and JEE Advanced.
Yes. 1D Kinematics is a fundamental Mechanics chapter in JEE Main and typically contributes 1–2 questions every year.
Equations of motion, motion graphs, free-fall motion, relative velocity, and uniformly accelerated motion are the most frequently tested topics
Yes. 1D Kinematics is generally considered an easy-to-moderate chapter because most questions are direct, formula-based, or graph-oriented.
JEE Main usually includes 1–2 questions from 1D Kinematics, while JEE Advanced often incorporates these concepts into larger multi-topic Mechanics problems.
To prepare effectively, solve previous year JEE questions, practise motion graph problems, strengthen your understanding of equations of motion, and attempt timed mock tests regularly.
Students often make sign-convention errors, misinterpret motion graphs, and incorrectly apply constant-acceleration equations to situations involving variable acceleration.
Key formulas include the equations of motion, displacement and velocity relations, free-fall equations, average velocity formulas, and graph-based relationships between displacement, velocity, and acceleration.
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