Answer :
Final answer:
The displacement is the same for both persons walking blocks east and north regardless of the order, which is false. A position vs time graph showing acceleration is not a straight line, which is false. The Pythagorean theorem can be used to calculate the resultant of perpendicular vectors, which is true.
Explanation:
Displacement and Vectors
For question 4, the statement is False. Displacement is a vector quantity that represents the shortest distance from the initial to the final position of a point. Thus, for the two persons described, their displacements would be equivalent since they both ultimately end up 2 blocks east and 5 blocks north of their starting points regardless of the path taken. We can use the Pythagorean theorem to calculate the magnitude of displacement for both cases, which will be the same.
Position vs. Time Graph
Regarding question 18, the statement is False. The position vs time graph of an object that is speeding up is not a straight line, but a curve that gets steeper over time. A straight line on a position vs time graph indicates a constant velocity, not acceleration.
Vector Addition
For question 36, the answer is True. The Pythagorean theorem is applicable when the vectors are perpendicular. If the vectors represent two sides of a right triangle, their resultant, which is the hypotenuse of the triangle, can be found using the theorem.
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