Q16 of 43 Page 85

A particle has displacement 12m east, 5m towards north and 6m vertically upwards. Find the magnitude and sum of these displacements

We first consider displacement due to 12m east and then 5 m north.

,


Let the resultant displacement be


Now,


The angle between east and north direction is 90°


So,


…1


Now the particle moves vertically upward. So, we find the resultant due to and which are at 90° to each other.


Let the total displacement be d


The, …2


Now, putting 1 in 2, we get:



Now,


So,



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