A hiker begins her trek from the point on a map grid

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

Problem

A hiker begins her trek from the point (−10 m, 15 m)(-10\,\text{m},\,15\,\text{m}) on a map grid. She follows the itinerary below without pausing in between: (i) For each of the three legs, calculate the xx– and yy–components. (ii) Determine the hiker’s final coordinates on the map. (iii) Compute the total path length covered and the magnitude of the net displacement. Verify numerically that the magnitude of the net displacement is less than the total distance walked. (iv) Find the angle that the resultant displacement makes with the positive xx–axis.

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