Which of the following statements is true ? a.) All of the statements listed bel

Question

Which of the following statements is true?

a.) All of the statements listed below are false.

b.) Speed is a scalar and therefore involves both magnitude and direction.

c.) The magnitude of a velocity can be either positive or negative, depending on its direction.

d.) Distance refers to the length of a line from the initial position straight to the final position,

regardless of the path taken.

e.) Whether a velocity is considered positive or negative will depend on the coordinate system

used to describe it.

I know the answer is E but i need an explanation as to why the other answers are false!! thank you!

Explanation / Answer

As option e is correct, its explanation is as follows:

Velocity is vector quantity, so it is depends on its magnitude as well as direction.

Thats why it is depends on co-ordinate system. If you change the co-orinate system the value may be positive or negative.

Why other options are incorrect or false?

a) It is incorrect because we get correct answer from the list.

b) Scalar quantities always express by their magnitude only. So information given in b statement is wrong.

c) Magnitude is always positive. so c is wrong

d) Distance is path length. so we have to consider each point on the path when we measure the distance. It is not depend only initial and final position.

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