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Kinematics definitions
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Define:
Displacement
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Displacement
Change in location found by integrating the velocity function over a time interval; can be positive or negative depending on direction.
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Terms in this set (15)
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Displacement
Change in location found by integrating the velocity function over a time interval; can be positive or negative depending on direction.
Total Distance
Sum of all movement, calculated by integrating the absolute value of velocity to ensure only positive values are included.
Position Function
Expression giving location at any time, found by integrating velocity and adding the initial location.
Velocity Function
Expression describing rate of change of location, obtained by integrating acceleration and including the initial rate.
Acceleration Function
Expression representing the rate of change of velocity, often given as a function of time.
Initial Position
Starting location value used as a constant when constructing the position function.
Initial Velocity
Starting rate of change of position, used as a constant when constructing the velocity function.
Definite Integral
Mathematical tool for finding accumulated change, such as area under a curve, between two bounds.
Antiderivative
Function whose derivative yields the original function; used to reverse differentiation in motion problems.
Dummy Variable
Placeholder symbol in integration, ensuring the resulting function is expressed in terms of the desired variable.
Area Under the Curve
Graphical representation of accumulated change, such as displacement or total distance, found via integration.
Absolute Value
Operation ensuring all values are non-negative, crucial for calculating total distance from velocity.
Time Interval
Span between two time points over which integration is performed to find displacement or distance.
Power Rule
Technique for finding antiderivatives, especially useful when integrating polynomial functions in motion problems.
Units
Measurement labels, such as meters or seconds, that clarify the physical meaning of position, velocity, and acceleration.