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Motion with Variable Acceleration for JEE: 11 solved questions

Real JEE paper questions on motion with variable acceleration, part of motion in a straight line. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2005 to 2024. No sign-in needed to read them.

What this topic asks

• Velocity- and position-dependent acceleration — 9 questions
• Integrating a variable acceleration — 2 questions

All 11 questions with solutions

• The relation between time t and distance x is t = α x² + β x, where α and β are constants. The relation betwe… JEE Main 31st Jan 1st Shift 2024
• The instantaneous velocity of a particle moving in a straight line is given as v = α t + β t², where α and β… JEE Main 25th July 2nd Shift 2021
• A particle is moving with speed v = b√x along positive x-axis. Calculate the speed of the particle at time t… JEE Main 12th April 2nd Shift 2019
• An object moving with a speed of 6.25 m s⁻¹, is decelerated at a rate given by (dv)/(dt) = -2.5√v, where v is… AIEEE 2011
• A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity v tha… AIEEE 2006
• The relation between time t and distance x is t = ax² + bx, where a and b are constants. The acceleration is AIEEE 2005
• If the velocity of a body related to displacement x is given by v = √5000 + 24x m/s, then the acceleration of… JEE Main 27th Aug 1st Shift 2021
• The relation between time t and distance x for a moving body is given as t = mx² + nx, where m and n are cons… JEE Main 25th July 2nd Shift 2021
• The velocity of a particle is v = v₀ + gt + Ft². Its position is x = 0 at t = 0; then its displacement after… JEE Main 17th March 2nd Shift 2021 (also AIEEE 2007)
• A particle initially at rest starts moving from reference point x = 0 along x-axis, with velocity v that vari… JEE Main 1st Feb 2nd Shift 2024
• A particle is moving in a straight line such that its velocity is increasing at 5 m s⁻¹ per meter. The accele… JEE Main 25th July 2nd Shift 2022