Asked by Kelly
A person walked 3 miles at 30 degrees to the horizontal, 2 miles at 100 degrees to the horizontal, 5 miles at 240 degrees and 1 mile at 325 degrees. What is the person's total displacement
Answers
Answered by
MathMate
Do you mean Clockwise from the north (which is called bearing) instead to the horizontal?
Displacement is final position - original position. It has magnitude and direction.
You will need to resolve each component displacement into two orthogonal (or perpendicular) components such as x and y.
Sum algebraically each component and the total will be the components of the displacement. Combine the two components (√(x²+y²)) and determine the direction (arctan(y/x)).
Give it a try and post your results for checking if you wish.
Displacement is final position - original position. It has magnitude and direction.
You will need to resolve each component displacement into two orthogonal (or perpendicular) components such as x and y.
Sum algebraically each component and the total will be the components of the displacement. Combine the two components (√(x²+y²)) and determine the direction (arctan(y/x)).
Give it a try and post your results for checking if you wish.
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