JEE Main 2024 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 1 February 2024, Shift 1, Physics Q51

Question 51 of 90 in this shift, Physics question 21 of 30, Section B.

A particle is moving in one dimension (along

x

axis) under the action of a variable force. It's initial position was 16 m right of origin. The variation of its position (

x

) with time (t) is given as

x = -3t^3 + 18t^2 + 16t

, where

x

is in m and t is in s. The velocity of the particle when its acceleration becomes zero is ________ m/s.

Official answer

NTA final key.

Chapter: Motion in a Straight Line
Topic: Kinematics in 1D
Idea tested: Calculus in Kinematics

Same idea in other shifts

Asked 9× in all

3 Apr 2025, Shift 2 · Q28A particle moves along the $x$ -axis and has its displacement $x$ varying with time t according to the equation:…EasySingle correct
6 Apr 2024, Shift 2 · Q57A particle moves in a straight line so that its displacement $x$ at any time $t$ is given by $x^2=1+t^2$ . Its acceleration at any time $t$ …MediumNumerical value
15 Apr 2023, Shift 1 · Q38The position of a particle related to time is given by $x = (5t^2 - 4t + 5)\,m$ . The magnitude of velocity of the particle at $t = 2s$ …EasySingle correct
29 Jul 2022, Shift 1 · Q33If $t = \sqrt{x} + 4$ , then $\left(\frac{\mathrm{d}x}{\mathrm{d}t}\right)_{t=4}$ is :EasySingle correct
25 Jun 2022, Shift 2 · Q32Two buses $P$ and $Q$ start from a point at the same time and move in a straight line and their positions are represented by…EasySingle correct
3 Aug 2021, Shift 1 · Q2For the one-dimensional motion described by $x(t) = t - \sin t$ A. $v(t) < 0$ for all $t > 0$ B. $x(t) > 0$ for all $t > 0$ C. $v(t)$ lies…MediumOther
25 Jul 2021, Shift 2 · Q3The instantaneous velocity of a particle moving in a straight line is given as $v = \alpha t + \beta t^2$ , where $\alpha$ and $\beta$ are…EasySingle correct
17 Mar 2021, Shift 2 · Q11The velocity of a particle is $v=v_0+gt+Ft^2$ . Its position is $x=0$ at $t=0$ ; then its displacement after time (t=1) is :EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.