A student bikes to school by traveling first d N = 0.800 miles north, then d W =

Question

A student bikes to school by traveling first dN = 0.800 miles north, then dW = 0.300 miles west, and finally dS = 0.100 miles south.

Part A Take the north direction as the positive y direction and east as positive x. The origin is still where the student starts biking. Let dN be the displacement vector corresponding to the first leg of the student's trip. Express d N in component form Express your answer as two numbers separated by a comma (e.g., 1.0,2.00. By convention the x component is written first.

Explanation / Answer

Distance travelled towards east = 0

distance travelled towards west = 0.3 miles

towards north = 0.8 miles

towards south = 0.1 miles

Now x - component = -0.3 miles

y-c0mponent = 0.8-0.1 = 0.7 miles

Ans: (-0.3, 0.7 miles)

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