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Motion
The process of change in position
Displacement
As any object moves from one position to another, the length of the straight line drawn from its initial position to the object’s final position
Displacement formula in words
Change in position = final position - intial position
Displacement formula
△x = xi - xi
Displacement can either be
Positive or negative
Positive displacement
From xi to xf
Negative displacement
From xf to xi
Average velocity
Total displacement divided by the time interval during which the displacement occured
Velocity
Describes motion with both a direction and a numerical value (magnitude) indicating how fast something moves
Average speed
Equal to the distance traveled divided by the time interval for the motion
Average speed formula
Distance/time
Average velocity formula
Velocity = change in position/change in time
Acceleration
The rate at which velocity changes over time; an object accelerates if it’s speed, direction, or both change m/s/s or m/s²
What acceleration has
Direction and magnitude
Average acceleration formula
Change in velocity/time required for change
Motion at constant acceleration
Obeys kinematic equations
Kinematic equations
Can be used to predict the motion of an object
Motion graphs
To describe an object’s motion
Two types of motion graphs
Position time graph and velocity time graph
Instantaneous velocity
The velocity of an object at some instant or at a specific point in the object’s path
The slope of this tangent line
Equal to the value of the instantaneous velocity at that point
Area under the curve in a velocity time graph
Distance travelled
Gravitation magnitude (g)
9.81 m/s²
Free fall near the surface of the Earth
-g = -9.81 m/s²
If air resistance is regarded
All objects dropped near the surface of a planet fall with the same constant acceleration
Free fall
The motion of a body when only the force due to gravity is acting on the body
Acceleration is constant
During upward and downward motion, even if the object is not moving at all