To calculate the displacement and distance of the body moving along a circular path, we need to use some formulas related to the geometry of circles.
Given: Radius of the circular path, r = 14 m Angle at the center of the circle, θ = 120°
Displacement: The displacement is the straight-line distance between the initial and final positions of the body.
The displacement (d) can be calculated using the formula: d = 2πr (θ/360°)
Plugging in the values: d = 2π(14) (120/360) d = 2π(14) (1/3) d ≈ 28π/3 ≈ 29.32 m (approximate value)
Distance: The distance is the actual length of the path traveled by the body.
The distance (s) can be calculated using the formula: s = 2πr (θ/360°)
Plugging in the values: s = 2π(14) (120/360) s = 2π(14) (1/3) s ≈ 28π/3 ≈ 29.32 m (approximate value)
Therefore, the displacement and distance of the body moving along the circular path are approximately 29.32 meters.