Two particles are moving with velocities v1 and v2. Their relative velocity is maximum when the angle between their velocities is:
Correct answer: C. π
- A. Zero
- B. π/2
- C. π
- D. π/4
Explanation
The relative velocity between two particles is defined as the vector difference of their velocities. This value is maximized when the particles are moving in exactly opposite directions, which corresponds to an angle of π (180 degrees) between their velocities. This is because the relative velocity vector has the largest magnitude when the initial velocities are directly opposed. Options A and D represent angles where the particles are not directly opposed, hence they do not maximize relative velocity. Option B represents perpendicular motion, which also does not lead to maximum relative velocity as the vector components do not align oppositely.
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