Physics · System Of Particles

JEE Main 2026 — 6 April, Evening Shift — Question 6

Two identical bodies A and B of equal masses have initial velocities v⃗1=4i^m/s\vec{v}_1 = 4\hat{i}\mathrm{m/s} and v⃗2=4j^m/s\vec{v}_2 = 4\hat{j}\mathrm{m/s} respectively. The body A has acceleration a⃗1=6i^+6j^m/s2\vec{a}_1 = 6\hat{i}+6\hat{j}\mathrm{m/s}^2 while the acceleration of the other body B is zero. The centre of mass of the two bodies moves in ______ path.

  1. Option A:

    circular

  2. Option B:

    parabolic

  3. Option C:

    straight line

    Correct
  4. Option D:

    elliptical

Answer: C

Step-by-step solution

v⃗cm=2i^+2j^\vec{v}_{cm} = 2\hat{i}+2\hat{j}, a⃗cm=3i^+3j^\vec{a}_{cm} = 3\hat{i}+3\hat{j}. Since velocity and acceleration are parallel, path is straight line.

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Subject
Physics
Chapter
System Of Particles
Topic
Position of Center of Mass
Two identical bodies A and B of equal masses have initial velocities… | JEE Main 2026 PYQ with Solution · DhiX AI