Physics Review Question Unit: Mechanics Year: 1992 Question#: 6 Question: A student walks 1.0 kilometer due east and one kilometer due south. Then she runs 2.0 kilometers due west. The magnitude on the student's resultant displacement is closest to: (1 ) 0 km (2 ) 1.4 km (3 ) 3.4 km (4 ) 4.0 km What is this question really asking? Explanation by: Megan C. [ Return to question menu ] Answer 1 0 km INCORRECT If the students resultant displacement were zero, she would have ended where she be zero. return to top Answer 2 1.4 km CORRECT Using the Pythagorean Theorem, we find that the hypotenuse (also the displacement) is equal to the square root of 2km2 which is approximately 1.4 km.  return to top Answer 3 3.4 km INCORRECT As we found in answer 2, the displacement is equal to the square root of 2, which is equal to 1.4, not 3.4. return to top Answer 4 4.0 INCORRECT 4.0 km is equal to the total distance traveled. Distance does not equal displacement. return to top What's this question really asking? Do you know the Pythagorean Theorem, and the difference between distance and displacement? return to top This web site is designed and maintained by Science Joy Wagon and may not be reproduced or redistributed without written permission from Science Joy Wagon. Contact with comments.