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Saturday, 31 October

JEE Main · Physics · Motion in a Straight Line

Calculus in Kinematics

JEE Main asked Calculus in Kinematics 9 times in 9 of the 108 shifts Lumi analysed, in 2021, 2022, 2023, 2024 and 2025. It belongs to Kinematics in 1D, in Motion in a Straight Line (Physics). The longest wait between two years asking it was 1 year. In 2021, 2022 and 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
9
in 9 shifts
Years
5 of 8
First asked
2021
last in 2025
Pattern
Asked most years
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022, 2023, 2024 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Physics questions.

00.10.20’170’200.10’210.07’220.07’230.09’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 3 in 24 shifts · 2022: 2 in 24 shifts · 2023: 1 in 12 shifts · 2024: 2 in 18 shifts · 2025: 1 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20251 of 8
  • 20242 of 18
  • 20231 of 12
  • 20222 of 24
  • 20213 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: calculation.

  • Kinematics from displacement-time polynomial
  • Acceleration from displacement-time relation

Difficulty

Easy 7Medium 2Hard 0

2 of the 9 questions had a numerical answer.

Every question

All 9 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 3 Apr 2025, Shift 2 · Q28A particle moves along the xx-axis and has its displacement xx varying with time t according to the equation:…EasySingle correct
  2. 1 Feb 2024, Shift 1 · Q51A particle is moving in one dimension (along xx axis) under the action of a variable force. It's initial position was 16 m right of…EasyNumerical value
  3. 6 Apr 2024, Shift 2 · Q57A particle moves in a straight line so that its displacement xx at any time tt is given by x2=1+t2x^2=1+t^2. Its acceleration at any time tt…MediumNumerical value
  4. 15 Apr 2023, Shift 1 · Q38The position of a particle related to time is given by x=(5t2−4t+5) mx = (5t^2 - 4t + 5)\,m. The magnitude of velocity of the particle at t=2st = 2s…EasySingle correct
  5. 25 Jun 2022, Shift 2 · Q32Two buses PP and QQ start from a point at the same time and move in a straight line and their positions are represented by…EasySingle correct
  6. 29 Jul 2022, Shift 1 · Q33If t=x+4t = \sqrt{x} + 4, then (dxdt)t=4\left(\frac{\mathrm{d}x}{\mathrm{d}t}\right)_{t=4} is :EasySingle correct
  7. 17 Mar 2021, Shift 2 · Q11The velocity of a particle is v=v0+gt+Ft2v=v_0+gt+Ft^2. Its position is x=0x=0 at t=0t=0; then its displacement after time (t=1) is :EasySingle correct
  8. 25 Jul 2021, Shift 2 · Q3The instantaneous velocity of a particle moving in a straight line is given as v=αt+βt2v = \alpha t + \beta t^2, where α\alpha and β\beta are…EasySingle correct
  9. 3 Aug 2021, Shift 1 · Q2For the one-dimensional motion described by x(t)=t−sin⁡tx(t) = t - \sin t A. v(t)<0v(t) < 0 for all t>0t > 0 B. x(t)>0x(t) > 0 for all t>0t > 0 C. v(t)v(t) lies…MediumOther

Shifts: 17 Mar 2021, Shift 2, 25 Jul 2021, Shift 2, 3 Aug 2021, Shift 1, 25 Jun 2022, Shift 2, 29 Jul 2022, Shift 1, 15 Apr 2023, Shift 1, 1 Feb 2024, Shift 1, 6 Apr 2024, Shift 2, 3 Apr 2025, Shift 2.

Same topic

Other ideas in Kinematics in 1D

Kinematics in 1D has 28 ideas JEE Main has asked; 17 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas