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What is the direction and magnitude of your total displacement if you have traveled due west with a speed of 25 meters per second for 140 seconds then due south at 15 meters per second for 67 seconds?
Wiki User
∙ 13y ago
25 m/s for 140 s
Distance = Rate X Time
so..........
due west displacement = 3500 meters ( call this a )
due south displacement = 1005 meters ( call this b )
you are looking for the hypotenuse of a triangle and your direction will be south westerly
a^2 + b^2 = c^2 ( you want c )
c = sqrt(a^2 + b^2)
= 3641.43 meters as magnitude
Direction of displacement from start point is arctan (1005 / 3500) = 16.021 degrees.
For interest the true compass direction from start point will be 270 - 16.021 = 253.98 degrees (true) on a chart. Compass degrees measure clockwise, starting at North is 0°
Wiki User
∙ 13y ago
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