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Physical Quantities
numerical equivalents of matter or objects
Scalar Quantity
can be described by a single number
Vector Quantity
has magnitude and direction
Vector Notation
an arrow is written over the letter symbolizing the quantity
the magnitude’s notation is written with double lines, similar to the absolute value in math
Vector Diagram
A vector is drawn as a line with an arrowhead at its tip. The length represents the vector’s magnitude while the arrow represents the direction.
Vector Components
can be broken down into two perpendicular components: horizontal (x-axis) and vertical (y-axis). These components help to simplify the analysis of vector problems, especially in 2D and 3D space.
Motion
the change in the position of an object with respect to certain reference point, can be described based on its velocity, displacement, acceleration, and direction
Position
the specific point in space where an object is located relative to a reference point, usually represented by “x”
Distance
how much ground an object has covered
Displacement
change in position of an object, includes both magnitude and direction
Velocity
rate at which an object changes its position, including both speed and direction
Instantaneous Velocity
an object’s velocity at a specific moment in time
Average Velocity
total displacement divided by the total time taken
Acceleration
the rate at which the velocity changes, shows how fast or slow it changes, has the SI unit m/s²
Uniformly Accelerated Motion
object is undergoing this when the rate at which the magnitude of the velocity changes is constant, useful to derive equations that require displacement (x), velocity (v), acceleration (a), and time (t).
Positive Acceleration
happens when the motion is accelerating in the same direction, or the velocity and acceleration vector are pointing in the same direction.
Negative Acceleration
happens when the motion is accelerating in the opposite direction, or the velocity and acceleration vector are pointing in different direction
Free Fall
this is the vertical UAM, where gravity is the only force acting on the object, causing it to fall down; the acceleration is always g or 9.8 m/s²