PHYSICS · Subjective · CBSE · Physics · Motion in a Plane · Motion in a Plane
Problem
Two friends plan a trek. Their home H is first chosen as the origin. The trek proceeds in two legs on level ground:
Leg 1: From home H they walk 1.2km due north to point A.
Leg 2: From A they walk 1.6km due east to reach the camping site C.
After setting up camp, they decide to treat the camping site C as the new origin for describing the entire journey.
Taking east as the +x-direction and north as the +y-direction, answer the following:
(i) With respect to the original origin H, write the x- and y-coordinates of point A and point C.
(ii) Compute the magnitude of the net displacement from H to C.
(iii) Determine the x- and y-coordinates of the starting point H when measured from the new origin C.
(iv) Using the coordinates obtained in part (iii), calculate the magnitude of the displacement from H to C once again and hence prove that changing the origin does not alter the displacement between two fixed points.