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JEE Main 2026 · 6 Apr · Shift 2, Physics question 32

Two identical bodies A and B of equal masses have initial velocities v⃗1=4i^\vec v_1=4\hat i m/s and v⃗2=4j^\vec v_2=4\hat j m/s respectively. The body A has acceleration a⃗1=6i^+6j^\vec a_1=6\hat i+6\hat j m/s² while the acceleration of the other body B is zero. The centre of mass of the two bodies moves in ________ path.

Choose one option
Answer and worked solution

Official answer: C

Centre of mass.

  • v⃗cm=12(4i^+4j^)=2i^+2j^\vec v_{cm}=\tfrac12(4\hat i+4\hat j)=2\hat i+2\hat j.
  • a⃗cm=12(6i^+6j^)=3i^+3j^\vec a_{cm}=\tfrac12(6\hat i+6\hat j)=3\hat i+3\hat j.

The acceleration is parallel to the initial velocity, so the path is a straight line.

(C)

Topics:Centre of massMotion in a plane
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