You are kidnapped by political-science majors (who are upset because you told them political science is not a real science). Although blindfolded, you can tell the speed of their car (by the whine of the engine), the time of travel (by mentally counting off seconds), and the direction of travel (by turns along the rectangular street system). From these clues, you know that you are taken along the following course: 50 km/h for 2.0 min, turn 90° to the right, 20 km/h for 4.0 min, turn 90° to the right, 20 km/h for 60 s, turn 90° to the left, 50 km/h for 60 s, turn 90° to the right, 20 km/h for 2.0 min, turn 90° to the left, 50 km/h for 30 s. At that point, (a) how far are you from your starting point, and (b) in what direction relative to your initial direction of travel are you?
You are kidnapped by political-science majors (who are
upset because you told them political science is not a real
science). Although blindfolded, you can tell the speed of their
car (by the whine of the engine), the time of travel (by mentally
counting off seconds), and the direction of travel (by turns
along the rectangular street system). From these clues, you
know that you are taken along the following course: 50 km/h for
2.0 min, turn 90° to the right, 20 km/h for 4.0 min, turn 90° to the
right, 20 km/h for 60 s, turn 90° to the left, 50 km/h for 60 s, turn
90° to the right, 20 km/h for 2.0 min, turn 90° to the left, 50 km/h
for 30 s. At that point, (a) how far are you from your starting
point, and (b) in what direction relative to your initial direction
of travel are you?
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