Instructions: On occasion, the notation = [A, θ] will be a shorthand notation for .
-A student decides to spend spring break by driving 50 miles due east, then 50 miles 30 degrees south of east, then 50 miles 30 degrees south of that direction, and to continue to drive 50 miles deviating by 30 degrees each time until he returns to his original position. How far will he drive, and how many vectors must he sum to calculate his displacement?
A) 0, 0
B) 0, 8
C) 0, 12
D) 400 mi, 8
E) 600 mi, 12

Question

Instructions: On occasion, the notation  = [A, θ] will be a shorthand notation for  .
-A student decides to spend spring break by driving 50 miles due east, then 50 miles 30 degrees south of east, then 50 miles 30 degrees south of that direction, and to continue to drive 50 miles deviating by 30 degrees each time until he returns to his original position. How far will he drive, and how many vectors must he sum to calculate his displacement?
A) 0, 0 
B) 0, 8 
C) 0, 12 
D) 400 mi, 8 
E) 600 mi, 12

Quizplus · Accepted Answer

The student drives in a regular hexadecagon (16-sided polygon), returning to the starting point after 12 vectors, each 50 miles long, totaling 600 miles.

Instructions: on Occasion, the Notation = [A, θ] Will