Question

Which statements below are true? Check all that apply. A. If motion starts and stops at the same location, then the displacement is zero. B. Distance measurements must include magnitude, unit, and direction. I c. Distance is always greater than or equal to the magnitude of the displacement D. Displacement can be fully described with a magnitude and a unit.​

Answer 1

Answer:

A. If motion starts and stop at the same location, then the displacement is zero

C. Distance is always greater than or equal to the magnitude of the displacement

Explanation:

The displacement of a body is a vector quantity that gives the shortest (straight line) distance moved by an object in motion, from its initial position to its final position. The displacement can also be described as the final position relative to the initial position of an object, such that the displacement vector, 's', is given as follows;

$s = x_f - x _i$

The displacement gives the direct length between two points, with regards to the direction of motion between the points. It can only be described by both the magnitude and the direction

Therefore, displacement can be positive (forward motion), negative (backward motion), or zero (where there is motion that stops at the starting point)

Therefore, a correct options is; If motion starts and stop at the same location, then the displacement is zero

Displacement, being a vector quantity will have both magnitude and direction

Distance, however, is a scalar quantity, it specifies only magnitude, but does not specify direction

Distance, describes the length of the path taken from one point to the other. Distance gives the total movement a body makes, without regards to the direction of the motion

Therefore, distance is always positive or zero (here only the object is stationary)

Therefore, a correct option is; Distance is always greater than or equal to the magnitude of the displacement

Therefore, the correct options are;

If motion starts and stop at the same location, then the displacement is zero