Question

A girl swings on a rope and lets go with an initial velocity of 2.65 m/s at 35.0 degrees. What determines the range of her swing?

a) Initial velocity
b) Release point
c) Length of the rope
d) Angle of release

Answer 1

The girl's swing range is determined by the initial velocity, the release point, length of the rope, and angle of release, all of which are core principles of projectile motion in physics.

Step-by-step explanation:

The range of a girl's swing when she releases the rope is determined by several factors:

• Initial velocity: The speed and direction in which she is moving when she lets go of the rope affect how far she will travel horizontally.
• Release point: The height and angle at which she releases the rope influence the trajectory of her swing.
• Length of the rope: This determines the maximum potential height and affects the potential energy at the release point.
• Angle of release: The angle with the vertical at which she lets go of the rope affects both the vertical and horizontal components of her motion.

All of these factors closely relate to projectile motion principles found in physics. For a projectile launched at an angle with no air resistance, its range is influenced by the initial velocity, the angle of release, and the height of launch, which in the case of a swing, can be determined by the length of the rope and the release point.