Graphing Circular Motion Concepts

Any motion in which an object repeats the same movement over and over. It can be described mathematically using sine or cosine waves, which show smooth periodic oscillation.

The path a projectile takes through the air. It's a curved path shaped like a parabola. It can be represented mathematically using a quadratic function.

A two-dimensional dot diagram that shows the object's total trajectory, which can be drawn as a line or a two-dimensional dot diagram.

A graph that displays the position of an object over time. This graph can help determine information such as an objects average and instantaneous velocity.

A graph showing the velocity of an object over time. It can be used to deduce acceleration and displacement.

Motion with a constant velocity. The horizontal motion of a projectile is an example.

Motion with constant acceleration. The vertical motion of a projectile is an example. The acceleration is due to gravity.

The acceleration of an object in uniform circular motion. It is always directed towards the center of the circle. The magnitude of the acceleration is constant, but its direction changes.

Describes a two-dimensional vector quantity (like velocity) that is always directed towards the center of a circle.

The ratio of the corresponding sides of similar triangles are equal. The ratio of one side of a triangle to its counterpart in a similar triangle is constant for all sides.

The sum of the x-components of the velocities to get the x-component of the resulting velocity. Then, add the y-components of the velocities to get the y-component of the resulting velocity. Finally, use the Pythagorean theorem to determine the magnitude of the resultant velocity, using the calculated x and y components.

An object moving through the air, only affected by gravity. It is the combination of uniform horizontal motion and free-fall motion.

The combination of uniform motion parallel to Earth's surface combined with free-fall motion with constant acceleration perpendicular to Earth's surface.

The motion of a projectile can be analyzed by separating the motion into two independent one-dimensional motions, along the horizontal and vertical axes.

The rate of change of displacement, or how fast an object is moving in a specific direction, and can be represented mathematically as a set of vector components.

The horizontal component of velocity of a projectile remains constant while the vertical velocity component changes.

The rate of change of velocity over time, and can be represented mathematically as a set of vector components.

The acceleration due to gravity is constant and always acts downward towards the center of Earth.

Motion with a constant velocity in a circular path. Although the speed of the object remains the same, its direction is constantly changing, resulting in acceleration.

The resultant velocity of an object is the vector sum of its horizontal and vertical velocity components. It can be used to find the object's speed and direction.

A river current pushes a boat downstream with a certain velocity. When the boat is rowed across the river, the two velocities (the boat's and the river's) add to produce a resultant velocity that is a combination of both.

A person rows a boat across a river with a constant velocity. The river current pushes the boat downstream with a different constant velocity.

The magnitude of a velocity vector can be found using the Pythagorean theorem, given its x and y components.

The components of a velocity vector can be used to determine its direction relative to a coordinate system.

The time it takes for an object to complete one cycle of oscillatory motion.

The number of oscillations an object completes in a given amount of time.