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Velocity and Acceleration by Differentiation for JEE: 13 solved questions

Real JEE paper questions on velocity and acceleration by differentiation, part of motion in a straight line. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2019 to 2026. No sign-in needed to read them.

What this topic asks

• Acceleration by differentiation — 7 questions
• Velocity from a position function — 6 questions

All 13 questions with solutions

• The equation of motion of a particle is given by x = a sin (50t + π/3) cm. The particle will come to rest at… JEE Main 2nd April 2nd Shift 2026
• A particle starts moving from time t = 0 and its coordinate is given as x(t) = 4t³ - 3t. (A) The particle ret… JEE Main 28th Jan 2nd Shift 2026
• A particle moves along the x-axis and has its displacement x varying with time t according to the equation x… JEE Main 3rd April 2nd Shift 2025
• A particle is moving in a straight line. The variation of position x as a function of time t is given as x =… JEE Main 29th Jan 2nd Shift 2024
• The distance travelled by an object in time t is given by s = (2.5)t². The instantaneous speed of the object… JEE Main 13th April 2nd Shift 2023
• The position of a particle related to time is given by x = (5t² - 4t + 5) m. The magnitude of velocity of the… JEE Main 15th April 1st Shift 2023
• The distance travelled by a particle is related to time t as x = 4t². The velocity of the particle at t = 5 s… JEE Main 25th Jan 2nd Shift 2023
• If t = √x + 4, then ((dx)/(dt))_t = 4 is JEE Main 29th July 1st Shift 2022
• Two buses P and Q start from a point at the same time and move in a straight line and their positions are rep… JEE Main 25th June 2nd Shift 2022
• The position of a particle as a function of time t, is given by x(t) = at + bt² - ct³, where a, b and c are c… JEE Main 9th April 2nd Shift 2019
• A particle moves in a straight line so that its displacement x at any time t is given by x² = 1 + t². Its acc… JEE Main 6th April 2nd Shift 2024
• A particle is moving in one dimension (along x-axis) under the action of a variable force. Its initial positi… JEE Main 1st Feb 1st Shift 2024
• The distance x covered by a particle in one dimensional motion varies with time t as x² = at² + 2bt + c. If t… JEE Main 9th Jan 1st Shift 2020