Starting from a post-office O

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

Problem

Starting from a post-office O, a postman walks 150 m150\,\text{m} due east to house A and then 100 m100\,\text{m} due north to house B. A watch-tower T is located 50 m50\,\text{m} due east of house B. (i) Determine the magnitude of the postman’s resultant displacement from the post-office O to house B. (ii) Give the position of the watch-tower T relative to the post-office O in terms of east and north components (state each component with unit and sign convention). (iii) Choosing the watch-tower T as the reference point and keeping east as the positive xx-direction and north as the positive yy-direction, state the position of the post-office O.

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