An object moves from point A to B to C to D and finally to A along the circle shown in the figure below.
a) Find the distance covered by the moving object.
b) Find the magnitude of the displacement of the object.

a) The distance covered by the moving object is approximately 18.85 km

b) The magnitude of the displacement of the object is 0 (no displacement)

Explanation:

From the drawing, we have;

The sale of the drawing is 1 unit = 1 km

The radius of the circle in the drawing along which the object moves = 3 units

Therefore;

The radius of the circle along which the object moves, r = 1 km/unit × 3 units = 3 km

a) The distance covered by the object that moves from point A to B to C to D and finally to A is equal to the circumference of the circle

Therefore;

The distance covered by the moving object, d = 2·π·r

By pugging the value for r = 3 km

d = 2 × π × 3 km = 6·π km ≈ 18.85 km

The distance covered by the moving object, d ≈ 18.85 km

b) The displacement = The object's change in position

The initial position of the object = Point A

The final position of the object = Point A

Therefore, the displacement of the object, A = No displacement = 0 (No difference between the initial and final location of the object

the correct choice is a .

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