A woman walks 250m in the direction of 30degrees East ofNorth., then 175m direct

Question

A woman walks 250m in the direction of 30degrees East ofNorth., then 175m directly east. Find... a) the magnitude b) the angle of her final displacement from the startingpoint. c) the distance she walks d) which is greater, the distance she walks or the magnitudeof her displacement. A woman walks 250m in the direction of 30degrees East ofNorth., then 175m directly east. Find... a) the magnitude b) the angle of her final displacement from the startingpoint. c) the distance she walks d) which is greater, the distance she walks or the magnitudeof her displacement.

Explanation / Answer

X component of the total displacement=250cos30+175=391.50 Y component of the total displacement=250sin30        =125 the magnitude of thedisplacement=[391.52+1252]1/2=410.97m part b angle tan=125/391.5=> =17.70 part c 250+175=425m part d distance is greater

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