A particle moves in a plane from point to and then to

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A particle moves in a plane from point P(2 m, 3 m)P(2\,\text{m},\,3\,\text{m}) to Q(10 m, 3 m)Q(10\,\text{m},\,3\,\text{m}) and then to R(10 m, 11 m)R(10\,\text{m},\,11\,\text{m}). Treat the coordinate axes as mutually perpendicular with origin at O. (a) Find the displacement vector PR⃗\vec{PR} from the initial point PP to the final point RR and state its magnitude. (b) Determine the total distance travelled along the path P→Q→R. (c) Verify whether the inequality Distance ≥\ge Magnitude of displacement holds for this motion and state the numerical difference. (d) Calculate the angle that the displacement vector makes with the positive xx–axis.

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