Hyperbolic motion is like when you're swinging on a swing set. You know how when you go forward and back, it takes longer to go back and slow down at the highest point, then goes faster and faster as you go back down? That's like hyperbolic motion!
But instead of going up and down on a swing, hyperbolic motion is when an object is moving in a curved path and getting farther and farther away from something else, like the Sun or the Earth.
It's like when you're on a rollercoaster and you're going up and up and up, but then suddenly you start going down really fast and your stomach feels like it's dropping out of your body! This is because the rollercoaster is moving in a hyperbolic path.
When objects move in a hyperbolic path, they follow the shape of a mathematical curve called a hyperbola. The curve looks like two arms stretching out, and the object moves along the arms, getting farther and farther away from the center point.
Scientists use hyperbolic motion to study things like comets or other objects in space, because they can track the object's trajectory and figure out where it came from and where it's going.
So remember, hyperbolic motion is like when you're swinging on a swing, or on a rollercoaster, except instead of going up and down, you're moving along a curve and getting farther away!