SOLUTION: A light air craft is 60 km north east from OR Tambo International Airport and it flies north for six hours at a velocity of 96 km/h, Determine its position(displacement) with refer

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Question 1085979: A light air craft is 60 km north east from OR Tambo International Airport and it flies north for six hours at a velocity of 96 km/h, Determine its position(displacement) with reference to OR Tambo I. Magnitude and direction?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So for the 60km NE, it traveled 60(sqrt(2)/2) north and east.
For 6 hours, it traveled 6%2A96=576km north.
So all together it traveled,
East : E=30sqrt%282%29km
North: N=30sqrt%282%29%2B576km
The magnitude would be the square root of the sum of the squares of E and N,
M=sqrt%28E%5E2%2BN%5E2%29=sqrt%281800%2B576%5E2%29
and the angle,
tan%28theta%29=N%2FE=%2830sqrt%282%29%2B576%29%2F%2830sqrt%282%29%29
where 0 degrees is due East.
Work those two out for the answer.