A motorist drives south at 20 m/s for 3 min, then turns west and travels at 25 m/s for 2 min, and finally travels northwest at 30 m/s for 1 min. For this 6 min trip find the average velocity.
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Expert's answer
2020-06-01T14:27:51-0400
Let the motorist starts his journey from the origin A=(0,0) and reach to points B,C,D as given in the problem.
Now,consider the velocity in south,west and north-west direction are vs.vw&vnw respectively and also respective travel times are ts,tw,tnw .
Thus from the figure, clearly,
u=vsts=3600m
v=vwtw=3000mw=vnwtnw=1800m
Thus from the figure we can clearly see the final displacement vector is
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