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Saturday, 31 October

JEE Main · Physics · Motion in a Straight Line

Position-Dependent Acceleration (v dv/dx)

JEE Main asked Position-Dependent Acceleration (v dv/dx) 5 times in 5 of the 108 shifts Lumi analysed, in 2021, 2022, 2024 and 2026. It belongs to Kinematics in 1D, in Motion in a Straight Line (Physics). The longest wait between two years asking it was 2 years. In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
5
in 5 shifts
Years
4 of 8
First asked
2021
last in 2026
Pattern
Frequent
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200.07’210.03’220’230.05’240’250.11’26

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

Shift by shift

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

  • 20261 of 9
  • 20250 of 8
  • 20241 of 18
  • 20230 of 12
  • 20221 of 24
  • 20212 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: calculation.

  • Acceleration from position-dependent velocity
  • Acceleration from v as function of x

Difficulty

Easy 2Medium 3Hard 0

3 of the 5 questions had a numerical answer.

Every question

All 5 questions

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

  1. 2 Apr 2026, Shift 1 · Q28The velocity of a particle is given as v⃗=−xi^+2yj^−zk^\vec v=-x\hat i+2y\hat j-z\hat k m/s. The magnitude of acceleration at point (1,2,4)(1, 2, 4) is…MediumSingle correct
  2. 1 Feb 2024, Shift 2 · Q51A particle initially at rest starts moving from reference point x=0x = 0 along xx-axis, with velocity vv that varies as v=4xv = 4\sqrt{x}…MediumNumerical value
  3. 25 Jul 2022, Shift 2 · Q51A particle is moving in a straight line such that its velocity is increasing at 5 ms−1^{-1} per meter. The acceleration of the particle is…EasyNumerical value
  4. 24 Feb 2021, Shift 2 · Q2A particle is projected with velocity v0v_0 along xx-axis. A damping force is acting on the particle which is proportional to the square…MediumSingle correct
  5. 27 Aug 2021, Shift 1 · Q23If the velocity of a body related to displacement xx is given by v=5000+24xv=\sqrt{5000+24x} m/s, then the acceleration of the body is __________…EasyNumerical value

Shifts: 24 Feb 2021, Shift 2, 27 Aug 2021, Shift 1, 25 Jul 2022, Shift 2, 1 Feb 2024, Shift 2, 2 Apr 2026, Shift 1.

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