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please solve

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Asked by mehtaswati566 1st January 2023, 1:51 PM
Answered by Expert
Answer:
Let statring point is at origin O.
 
Let begin mathsize 14px style i with overbrace on top space a n d space j with overbrace on top space end styleare unit vectors in x-axis and y-axis direction respectively
 
Initial displacement OA is 5 m in noth direction
 
Hence , begin mathsize 14px style stack O A with rightwards arrow on top space equals space left parenthesis space 5 space m space right parenthesis space j with overbrace on top end style
Next displacement AB is 4 m towards east
 
Hence, begin mathsize 14px style stack A B with rightwards arrow on top end style = begin mathsize 14px style left parenthesis space 4 space m space right parenthesis space i with overbrace on top end style
Magnitude of final displacement BC is ( 5√2 m ) and in the direction south-west
 
Hence begin mathsize 14px style stack B C with rightwards arrow on top space equals space left parenthesis space minus 5 space m space right parenthesis space i with hat on top space plus space left parenthesis space minus 5 space m space right parenthesis space j with hat on top end style
Net displacement begin mathsize 14px style stack O C with rightwards arrow on top space equals space stack O A with rightwards arrow on top space plus space stack A B with rightwards arrow on top space plus stack B C space with rightwards arrow on top end style
begin mathsize 14px style stack O C with rightwards arrow on top space equals space stack O A with rightwards arrow on top space plus space stack A B with rightwards arrow on top space plus stack B C space with rightwards arrow on top space equals space left parenthesis 5 space m right parenthesis space j with hat on top space plus space left parenthesis 4 space m right parenthesis space i with hat on top space space minus space left parenthesis 5 space m right parenthesis i with hat on top space minus space left parenthesis 5 space m right parenthesis j with hat on top space equals space minus left parenthesis space 1 space m space right parenthesis space i with hat on top end style
Net displacement from initial to final direction is ( - 1 m ) in magnitude and direction is towards west
Answered by Expert 1st January 2023, 3:17 PM
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