Information for question: A student bikes to school by traveling first d N = 0.9
ID: 1326790 • Letter: I
Question
Information for question: A student bikes to school by traveling firstdN = 0.900 miles north, then dW = 0.400 mileswest, and finally dS = 0.100 miles south.
Question:
You will now find the same quantity algebraically, without the need to use much geometry. Take the north direction as the positive y direction and east as positive x. The origin is still where the student starts biking.
Let d N be the displacement vector corresponding to the first leg of the student's trip. Express d Nin component form.
Express your answer as two numbers separated by a comma (e.g., 1.0,2.0). By convention, the x component is written first.
Explanation / Answer
Total displecement in y direction = dN - dS = 0.900 miles - 0.100 miles = 0.800 miles ( North) = 0.800 j miles
Total displacement in x direction = dW = 0.400 miles ( West) = -0.400 i miles
Displacement vector = -0.400 i + 0.800 j miles = (-0.400, 0.800) miles