Rates of Change (Leaving Cert Applied Maths): Flashcards
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Practise the cards
15 cards from this deck
Rates of change measure
Rates of change measure
How quickly a quantity changes over time
Type of rate measured by differentiation
Type of rate measured by differentiation
Instantaneous rate
Three quantities linked in kinematic chain
Three quantities linked in kinematic chain
Distance, speed, acceleration
Finding velocity from distance function
Finding velocity from distance function
Differentiate distance
Finding acceleration from velocity
Finding acceleration from velocity
Differentiate velocity
Integration in kinematic chain moves from
Integration in kinematic chain moves from
Acceleration → speed → distance
Differentiate distance twice to get
Differentiate distance twice to get
Acceleration
Integrate velocity function to get
Integrate velocity function to get
Distance/displacement
Velocity at maximum height in projectile motion
Velocity at maximum height in projectile motion
Zero
Projectile height function typically involves
Projectile height function typically involves
(quadratic)
Standard value for acceleration due to gravity
Standard value for acceleration due to gravity
or
Velocity function form with uniform acceleration
Velocity function form with uniform acceleration
Linear (first degree in )
Distance function form with uniform acceleration
Distance function form with uniform acceleration
Quadratic (involves )
Must add this when integrating
Must add this when integrating
Constant of integration
How to find constant of integration
How to find constant of integration
Use initial conditions