Types of Motion

Study Notes

Translational Motion: motion in which an object moves from one place to another in a straight line or curved path.
Rotational Motion: motion in which an object rotates around a fixed axis.
Vibrational Motion: motion in which an object oscillates back and forth about a fixed point.
Circular Motion: motion in which an object moves in a circular path.
Random Motion: motion in which an object moves in a random and unpredictable way.

Distance: the total length of the path traveled by an object.
Displacement: the shortest distance between the initial and final positions of an object.
Speed: the rate of change of distance with respect to time.
Velocity: the rate of change of displacement with respect to time.
Acceleration: the rate of change of velocity with respect to time.

Distance-Time Graph: a graph that shows the distance traveled by an object over time.
Velocity-Time Graph: a graph that shows the velocity of an object over time.
Acceleration-Time Graph: a graph that shows the acceleration of an object over time.

v = u + at: the equation of motion that relates initial velocity (u), final velocity (v), acceleration (a), and time (t).
s = ut + (1/2)at^2: the equation of motion that relates displacement (s), initial velocity (u), acceleration (a), and time (t).
v^2 = u^2 + 2as: the equation of motion that relates initial velocity (u), final velocity (v), acceleration (a), and displacement (s).

Uniform Motion: motion in which an object moves with a constant velocity.
Uniformly Accelerated Motion: motion in which an object moves with a constant acceleration.
Free Fall: motion in which an object falls under the sole influence of gravity.

Translational motion involves an object moving from one place to another in a straight line or curved path.
Rotational motion occurs when an object rotates around a fixed axis.
Vibrational motion is a type of motion where an object oscillates back and forth about a fixed point.
Circular motion involves an object moving in a circular path.
Random motion is a type of motion where an object moves in a random and unpredictable way.

Distance is the total length of the path traveled by an object.
Displacement is the shortest distance between the initial and final positions of an object.
Speed is the rate of change of distance with respect to time, measured in meters per second (m/s).
Velocity is the rate of change of displacement with respect to time, measured in meters per second (m/s).
Acceleration is the rate of change of velocity with respect to time, measured in meters per second squared (m/s²).

The equation v = u + at relates initial velocity (u), final velocity (v), acceleration (a), and time (t).
The equation s = ut + (1/2)at^2 relates displacement (s), initial velocity (u), acceleration (a), and time (t).
The equation v^2 = u^2 + 2as relates initial velocity (u), final velocity (v), acceleration (a), and displacement (s).

Uniform motion occurs when an object moves with a constant velocity.
Uniformly accelerated motion occurs when an object moves with a constant acceleration.
Free fall is a type of motion where an object falls under the sole influence of gravity.