Unit 3: Motion in Two-Dimensions
Problem Set A
Which of the following statements are true? Choose all that apply by listing their letter in alphabetical order with no spaces, commas, or other marks between letters.
a. It is possible for a person to take a trip and to have a resultant displacement which is greater than the distance traveled during the trip.
b. The resultant of A + B + C (in the diagram at the right) would have a direction of 315 degrees.
c. The order in which four vectors are added would effect the magnitude and the direction of a resultant.
d. Adding two vectors of magnitude 12 units and 16 units can yield resultants with any magnitude between 0 units and 28 units.
e. A person walks 50 feet west, 40 feet south, 20 feet east and 40 feet north. The displacement would be 30 feet, west and the distance would be 70 feet.
f. Adding two vectors of magnitude 6 units and 8 units can only yield resultant values of 2 units, 10 units, and 14 units.
g. A person walks 200 feet north and 300 feet south. The displacement would be 500 feet and the distance would be 100 feet, south.
h. Vector D in the diagram at the right has a direction of 260 degrees.
i. Vector A + vector B produce the resultant C. Vector A - vector B produce the resultant D. One can be sure that vectors C and D would have the same magnitude but directions which are exactly opposite each other (i.e., 180 degrees different).
j. Vector C in the diagram at the right has a direction of 60 degrees.
(List all in alphabetical order with no spaces or punctuation marks.)
There are multiple concepts targeted by this collection of True False statements. Those concepts can be reviewed by a study of Lesson 1 in the Vectors unit at The Physics Classroom.
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