Integrating with Respect to Time (HSC SSCE Mathematics Advanced): Flashcards
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Integration as reverse of differentiation
Integration as reverse of differentiation
Integration is the reverse operation of differentiation
Integrating acceleration gives
Integrating acceleration gives
Velocity function
Integrating velocity gives
Integrating velocity gives
Displacement function
What to add when integrating
What to add when integrating
A constant of integration (e.g., or )
Purpose of initial conditions
Purpose of initial conditions
To find the value of the constant of integration
Value of (acceleration due to gravity)
Value of (acceleration due to gravity)
m/s² or m/s²
Sign of when upwards is positive
Sign of when upwards is positive
(gravity acts downwards)
Sign of when downwards is positive
Sign of when downwards is positive
(both gravity and positive point down)
Using standard physics formulae (, etc.)
Using standard physics formulae (, etc.)
Not allowed, must integrate from first principles
Omitting constants of integration in motion problems
Omitting constants of integration in motion problems
Never allowed, they must always be included