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Motion in a Plane with Vectors for JEE: 21 solved questions

Real JEE paper questions on motion in a plane with vectors, part of motion in a plane. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2003 to 2026. No sign-in needed to read them.

What this topic asks

• Position and velocity vectors — 11 questions
• Acceleration in a plane — 10 questions

All 21 questions with solutions

• A particle is moving along the x-axis with its coordinate with time t given by x(t) = 10 + 8t - 3t². Another… JEE Main 8th Jan 1st Shift 2020
• The velocity of a particle is given as ⃗v = -x̂i + 2ŷj - ẑk m/s. The magnitude of acceleration at point (1,… JEE Main 2nd April 1st Shift 2026
• The position vector of a moving body at any instant of time is given as ⃗r = (5t²̂i - 5t̂j) m. The magnitude… JEE Main 24th Jan 2nd Shift 2025
• The co-ordinates of a particle moving in x-y plane are given by x = 2 + 4t, y = 3t + 8t². The motion of the p… JEE Main 4th April 1st Shift 2024
• Position of an ant (S in metres) moving in Y-Z plane is given by ⃗S = 2t²̂j + 5̂k (where t is in second). The… JEE Main 27th Jan 1st Shift 2024
• At time t = 0, a particle starts travelling from a height 7̂z cm in a plane keeping z coordinate constant. At… JEE Main 28th July 2nd Shift 2022
• Motion of a particle in x-y plane is described by a set of following equations x = 4 sin (π/2 - ω t) m and y… JEE Main 28th June 1st Shift 2022
• A mosquito is moving with a velocity ⃗v = 0.5t²̂i + 3t̂j + 9̂k m/s and accelerating in uniform conditions. Wh… JEE Main 16th March 2nd Shift 2021
• Starting from the origin at time t = 0, with initial velocity 5̂j m s⁻¹, a particle moves in the x-y plane wi… JEE Main 4th Sept 1st Shift 2020
• A particle moves such that its position vector ⃗r(t) = cos ω t ̂i + sin ω t ̂j where ω is a constant and t is… JEE Main 8th Jan 2nd Shift 2020
• A particle starts from the origin at t = 0 with an initial velocity of 3.0̂i m/s and moves in the x-y plane w… JEE Main 9th Jan 2nd Shift 2020
• The position vector of a particle changes with time according to the relation ⃗r(t) = 15t²̂i + (4 - 20t²)̂j.… JEE Main 9th April 2nd Shift 2019
• A particle is moving with a velocity ⃗v = K(ŷi + x̂j), where K is a constant. The general equation for its p… JEE Main 9th Jan 1st Shift 2019
• The position co-ordinates of a particle moving in a 3-D coordinate system is given by x = a cos ω t, y = a si… JEE Main 9th Jan 2nd Shift 2019
• A particle moves from the point (2.0̂i + 4.0̂j) m, at t = 0, with an initial velocity (5.0̂i + 4.0̂j) m s⁻¹.… JEE Main 11th Jan 2nd Shift 2019
• The machine as shown in the figure has 2 rods of length 1 m connected by a pivot at the top. The end of one r… JEE Main Online 2017
• A particle has an initial velocity 3̂i + 4̂j and an acceleration of 0.4̂i + 0.3̂j. Its speed after 10 s is AIEEE 2009
• A particle is moving eastwards with a velocity of 5 m/s. In 10 s the velocity changes to 5 m/s northwards. Th… AIEEE 2005
• The co-ordinates of a moving particle at any time t are given by x = α t³ and y = β t³. The speed of the part… AIEEE 2003
• A particle starts from origin at t = 0 with a velocity 5̂i m/s and moves in x-y plane under action of a force… JEE Main 27th Jan 1st Shift 2024
• A balloon is moving up in air vertically above a point A on the ground. When it is at a height h₁, a girl sta… JEE Main 5th Sept 1st Shift 2020