Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
| Can explain the actions of an object bouncing up and down at the end of a spring. It assumes that there is no resisting forces acting upon the object. |
|
|
Term
Simple Harmonic Motion
Position |
|
Definition
| Refers to the function of the body's position after the bouncing begins with respect to time in t |
|
|
Term
Simple Harmonic Motion
Velocity |
|
Definition
Describes the velocity of the object at time time. It is the derivative of the position function:
velocity=(position fxn)' |
|
|
Term
Simple Harmonic Motion
Acceleration |
|
Definition
Shows changes in direction and speed of the body with respect to time. It is the derivative of the velocity function, which makes it the 2nd order derivative for the position function:
acceleration=(velocity)'
and
acceleration=(position)''
|
|
|
Term
Simple Harmonic Motion
Jerk |
|
Definition
Shows a sudden change in acceleration. Jerk is responsible for you drink spilling when you make a sharp turn. It is the derivative of the acceleration function, the 2nd order derivative for velocity and the 3rd order derivative for the position function:
jerk=(acceleration)'
and
jerk=(velocity)''
and
jerk=(position)''' |
|
|
Term
|
Definition
| Breaking down complicated trig functions can help to simplify complicated derivative problems for trig functions. |
|
|
Term
|
Definition
|
|
Term
Related Trig Fxns
cotangent
cotx |
|
Definition
|
|
Term
Related Trig Fxns
secant
secx |
|
Definition
|
|
Term
Related Trig Fxns
cosecant
cscx |
|
Definition
|
|
Term
Derivatives of Trig Fxns
derivative of tangent x
(tanx)' |
|
Definition
|
|
Term
Derivative of Trig Fxns
derivative of cotangent x
(cotx)' |
|
Definition
|
|
Term
Derivative of Trig Fxns
derivative of secant x
(secx)' |
|
Definition
|
|
