Acar travels 30 miles in 1 hour on a winding mountain road. which of the following is a true statement?
(a) the magnitude of the total displacement is larger than the distance traveled.
(b) the magnitude of the average velocity is greater than 30 m. p.h.
(c) the magnitude of the average velocity is equal to 30 m. p.h.
(d)the magnitude of the average velocity is less than to 30 m. p.h.
(e)the car traveled with a constant speed of 30 m. p.h.

The only true option is C

Explanation:

A) because the car travels only in one direction, the total displacement (the difference of the final position and the initial position) is equal to the distance traveled. This option is false

B) The car moves at an average speed of exactly 30 miles per hour, this statement is false.

C) For the thing said before, this statement is correct, the average speed is equal to the total distance moved divided by the lapse of time, here the car moves 30 miles in one hour, so the average speed is 30 miles per hour

D) This can be true but not necessarily, the car may have varied the velocity, we know that the car moved 30 miles in the lapse of one hour, but maybe in some parts the velocity was 20mph and in other parts was 40mph, we do not really know, so this is false.

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