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Saturday, 31 October

JEE Main · Physics · Motion in a Straight Line

Implicit Time-Position Equations

JEE Main asked Implicit Time-Position Equations 3 times in 3 of the 108 shifts Lumi analysed, in 2020, 2021 and 2024. It belongs to Kinematics in 1D, in Motion in a Straight Line (Physics). The longest wait between two years asking it was 3 years.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
3 of 8
First asked
2020
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Physics questions.

00.050.10’170.08’200.03’210’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 in 18 shifts · 2025: 0 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
  • 20250 of 8
  • 20241 of 18
  • 20230 of 12
  • 20220 of 24
  • 20211 of 24
  • 20201 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: multi-step.

  • Acceleration-velocity relation from time-position equation
  • Retardation from implicit time-position relation

Difficulty

Easy 0Medium 2Hard 1

1 of the 3 questions had a numerical answer.

Every question

All 3 questions

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

  1. 31 Jan 2024, Shift 1 · Q32The relation between time 't' and distance 'x' is t=αx2+βxt=\alpha x^2+\beta x, where α\alpha and β\beta are constants. The relation between…MediumSingle correct
  2. 25 Jul 2021, Shift 2 · Q4The relation between time t and distance xx for a moving body is given as t=mx2+nxt = mx^2 + nx, where mm and nn are constants. The…MediumSingle correct
  3. 9 Jan 2020, Shift 1 · Q21The distance xx covered by a paritcle in one dimensional motion varies with time t as x2=at2+2bt+cx^{2} = at^{2} + 2bt + c. If the acceleration of…HardNumerical value

Shifts: 9 Jan 2020, Shift 1, 25 Jul 2021, Shift 2, 31 Jan 2024, 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