When finding the intersection points of the graphs

The solutions to the equation

The identity

If an equation contains trigonometric functions of multiples of angles, such as

When writing the function

When transforming

A billiard ball rolling across a table at [v1] m/s makes a head-on elastic collision with an identical ball. Find the speed of the first ball after the collision when the second ball is initially at rest. Express your answer in m/s.

A billiard ball rolling across a table at [v1] m/s makes a head-on elastic collision with an identical ball.Find the speed of the first ball after the collision when the second ball is moving toward the first at a speed of [v2] m/s. Express your answer in m/s.

A [m]-kg particle has a speed of [vA] m/s at point A and a kinetic energy of [KB] J at point B. What is its kinetic energy at A? Express your answer in J.

A [m]-kg particle has a speed of [vA] m/s at point A and a kinetic energy of [KB] J at point B. What is the total work done on the particle as it moves from A to B? Express your answer in J.