JEE Main Physics · Kinematics PYQ
JEE Main Kinematics Previous Year Questions (2002–2025)
Kinematics is the foundation chapter of Mechanics — ~5% JEE Main weightage with 1–2 questions per session. Mastering Kinematics is prerequisite to every Mechanics chapter that follows (Laws of Motion, WPE, Rotational). Projectile and relative velocity problems are especially recurring templates.
Kinematics PYQs from 2002 to 2025, tagged by sub-topic (1D motion, 2D motion, relative velocity, uniform circular motion) and difficulty. Every solution includes a diagram where relevant and derives key formulas from first principles.
Kinematics at a Glance
Key Sub-Topics & What's Tested
Motion in 1D
Position-time and velocity-time graphs, kinematic equations of uniformly accelerated motion, free fall under gravity.
Motion in 2D (Projectile)
Horizontal and oblique projectile motion, range, time of flight, maximum height, projectile on inclined plane.
Relative Velocity
Frame transformations, relative velocity in 1D and 2D, boats in rivers, rain-man problems, shortest-distance approaches.
Uniform Circular Motion
Angular velocity, centripetal acceleration (v²/r), tangential vs radial acceleration in non-uniform circular motion.
Variable Acceleration
a as function of time, velocity or position, calculus-based velocity and displacement equations.
Motion Graphs
Reading x-t, v-t and a-t graphs, area under v-t gives displacement, slope of x-t gives velocity.
Free Fall & Gravitational Motion
g = 9.8 m/s² under standard conditions, time-to-reach-ground calculations, ball thrown up and falling back.
Ground-Frame vs Moving-Frame Analysis
Comparing motion in two inertial frames, principle of relative motion, pseudo-force concept introduction.
Question Type Distribution
| Question Type | Share (approx) | Example Pattern |
|---|---|---|
| 1D Kinematic Equations | 25% | Ball thrown up with 20 m/s — find max height and time to reach ground. |
| Projectile Motion | 25% | Find range of projectile on inclined plane of angle α, launched at angle β to horizontal. |
| Relative Velocity | 20% | Man walks east at 5 km/h, rain falls vertically at 10 km/h — find apparent direction of rain. |
| Graph-Based Interpretation | 15% | Given v-t graph, find total displacement and average velocity. |
| Circular Motion | 10% | Particle moves on a circle of radius R with varying speed — find net acceleration. |
| Variable Acceleration (Calculus) | 5% | Given a(t) = 2t, find v(t) and x(t) with initial conditions. |
How to Solve Kinematics PYQs
- 1Memorise the 5 kinematic equations. v = u + at, s = ut + ½at², v² = u² + 2as, s = ½(u+v)t, s_nth = u + a(2n-1)/2. Most 1D PYQs reduce to these.
- 2Projectile shortcuts: horizontal and vertical independence. Decouple motion into x (constant velocity) and y (uniform g). Time of flight same for both components.
- 3Relative velocity: pick a reference frame and stick to it. Don't switch frames mid-solution. Convert all vectors to the chosen frame before adding/subtracting.
- 4Read motion graphs as integrals and derivatives. Area under v-t = displacement. Slope of v-t = acceleration. Slope of x-t = velocity.
- 5For inclined projectile problems, rotate the axes. Align x-axis with incline, decompose initial velocity and g along new axes.
Common Mistakes That Cost Marks
- Wrong sign conventions for vertical motion. If up is positive, g is negative. Mixing conventions mid-problem flips signs and kills the answer.
- Using v² = u² + 2as for variable acceleration. Only valid for constant acceleration. For variable a, use calculus (v dv = a dx).
- Forgetting y-direction in projectile range on incline. Range is NOT just (u²sin 2θ)/g on an incline — the derivation changes with the rotated axes.
- Adding velocities as scalars when they're vectors. Relative velocity is vector subtraction — draw the arrows, don't just subtract magnitudes.
- Assuming average velocity = (u+v)/2 always. Only true for constant acceleration. For variable a, average velocity = total displacement / total time.
Related JEE Main Practice
Frequently asked questions
How many Kinematics PYQs should I solve?
Target 60–80 Kinematics PYQs across 2010–2025. Given Kinematics is foundational for Mechanics, strong practice here accelerates Laws of Motion, WPE and Rotational PYQs.
Is Kinematics more important for JEE Main or JEE Advanced?
Both — the chapter weightage is similar. Advanced adds more multi-dimensional and multi-frame problems, but the Main-level PYQ templates transfer directly to Advanced practice.
Do I need calculus for Kinematics PYQs?
Rarely in JEE Main. Calculus is needed only for variable-acceleration problems (~5% of PYQs). Most questions use the 5 standard kinematic equations.
What's the most-tested Kinematics PYQ template?
Oblique projectile motion with given range / max-height conditions — roughly 3 variants per 10-year window. Also relative velocity in 2D (rain-man, boat-river) appears consistently.
How do I handle projectile on inclined plane questions?
Rotate axes so x lies along the incline, y perpendicular. Decompose u and g along new axes. Use modified time of flight = 2u_y / g_y where g_y = g·cos(α) for incline angle α.
What's a common relative velocity trap?
Rain-man problem often asks for angle of umbrella tilt. Answer: tan θ = v_man / v_rain (not v_rain / v_man). NTA loves this reversal.
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