Kinematics

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 us calculus a lot of times, by using the calculus it can be a kind of transformation of graph.

So it will be requires 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

1. No derivative function $f(x)$ = Position
2. first derivative $f'(x)$ = Velocity
3. second derivative $f''(x)$ = Acceleration
4. third derivative $f'''(x)$ = Jerk
5. fourth derivative $f^{(4)}(x)$ = Snap
6. fifth derivative $f^{(5)}(x)$ = crackle/flounce
7. sixth derivative $f^{(6)}(x)$ = Pop

today we are going to talk about.

1. $s(t)=$ displacement (m)
2. $v(t)=$ velocity (m/s)
3. $a(t)=$ acceleration
4. $t=$ time (second or s )

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derivative and integration

1. $s(t)=$ displacement (m)
2. first derivative $s'(t)=a(t)=$ velocity (m/s)
3. second derivative $s''(t)=v(t)=$ acceleration
4. third derivative $s'''=s(t)=$ time (second or s )

Same integration

1. no integration $t=$ time (second or s )
2. first integration of t $a(t)=$ acceleration
3. second integration of t $v(t)=$ velocity (m/s)
4. third integration of t $s(t)=$ displacement (m)