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? – From Halliday & Resnick Fundamentals of Physics Extended 9th Edition
