What is the displacement between Point A and Point B if a body moves along a semicircular path with a radius of 2 m?

What is the displacement between Point A and Point B if a body moves along a semicircular path with a radius of 2 m?

• A. 2 m
• B. 4 m
• C. 6 m
• D. 8 m

Answer: (B)

The correct answer is based on the concept of displacement, which refers to the shortest straight-line distance from the initial position to the final position of an object, regardless of the path taken. In this scenario, a body moves along a semicircular path with a radius of 2 meters. To determine the displacement between Point A and Point B, we can visualize that Point A is at one end of the semicircle and Point B is directly opposite at the other end. The radius of the semicircle is 2 meters, meaning that both points lie on the ends of a diameter of the semicircle. The length of the diameter can be calculated using the formula for the diameter (D) in relation to the radius (r): D = 2 * r In this case, the diameter would be: D = 2 * 2 m = 4 m Therefore, the straight-line distance—essentially the displacement—from Point A to Point B, which are on the ends of the diameter, is 4 meters. This explains why the correct answer reflects the displacement in a scenario involving a semicircular motion, focusing on the shortest path between the two points.

The correct answer is based on the concept of displacement, which refers to the shortest straight-line distance from the initial position to the final position of an object, regardless of the path taken. In this scenario, a body moves along a semicircular path with a radius of 2 meters.

To determine the displacement between Point A and Point B, we can visualize that Point A is at one end of the semicircle and Point B is directly opposite at the other end. The radius of the semicircle is 2 meters, meaning that both points lie on the ends of a diameter of the semicircle.

The length of the diameter can be calculated using the formula for the diameter (D) in relation to the radius (r):

D = 2 * r

In this case, the diameter would be:

D = 2 * 2 m = 4 m

Therefore, the straight-line distance—essentially the displacement—from Point A to Point B, which are on the ends of the diameter, is 4 meters. This explains why the correct answer reflects the displacement in a scenario involving a semicircular motion, focusing on the shortest path between the two points.