Difference between revisions of "Kinematics"
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==Kinematics== | ==Kinematics== | ||
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Kinematics is a physics topic taking about how describes the motion of points, objects without considering the forces that cause them to move. | Kinematics is a physics topic taking about how describes the motion of points, objects without considering the forces that cause them to move. | ||
In Kinematics we will | In Kinematics we will use calculus a lot of times, by using calculus can be a kind of transformation of the graph. | ||
So it will be required Higher Derivatives and Integration. | |||
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as we had say in [[Why do we need Higher Derivatives]] From the zero derivative to sixth derivative there is a meaning on the graph | as we had say in [[Why do we need Higher Derivatives]] From the zero derivative to sixth derivative there is a meaning on the graph. | ||
#No derivative function <math> f(x) </math> = Position | #No derivative function <math> f(x) </math> = Position | ||
#first derivative <math> f'(x) </math> = Velocity | #first derivative <math> f'(x) </math> = Velocity | ||
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#<math>t=</math> time (second or s ) | #<math>t=</math> time (second or s ) | ||
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====derivative and integration==== | ====derivative and integration==== | ||
#<math>s(t)=</math> displacement (m) | #<math>s(t)=</math> displacement (m) | ||
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#no integration <math>t=</math> time (second or s ) | #no integration <math>t=</math> time (second or s ) | ||
#first integration of t <math>a(t)=</math> acceleration | #first integration of t <math>a(t)=</math> acceleration | ||
#second integration of t <math>v(t)=</math> velocity (m/s | #second integration of t <math>v(t)=</math> velocity (m/s | ||
#third integration of t <math>s(t)=</math> displacement (m) | #third integration of t <math>s(t)=</math> displacement (m) | ||
Latest revision as of 12:33, 27 September 2021
Kinematics
Kinematics is a physics topic taking about how describes the motion of points, objects without considering the forces that cause them to move. In Kinematics we will use calculus a lot of times, by using calculus can be a kind of transformation of the graph.
So it will be required Higher Derivatives and Integration.
as we had say in Why do we need Higher Derivatives From the zero derivative to sixth derivative there is a meaning on the graph.
- No derivative function = Position
- first derivative = Velocity
- second derivative = Acceleration
- third derivative = Jerk
- fourth derivative = Snap
- fifth derivative = crackle/flounce
- sixth derivative = Pop
today we are going to talk about.
- displacement (m)
- velocity (m/s)
- acceleration
- time (second or s )
derivative and integration
- displacement (m)
- first derivative velocity (m/s)
- second derivative acceleration
- third derivative time (second or s )
Same integration
- no integration time (second or s )
- first integration of t acceleration
- second integration of t velocity (m/s
- third integration of t displacement (m)