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Motion により Mind Map: Motion

1. Acceleration

1.1. Rate of change of velocity with time

1.2. Symbol

1.2.1. a=acceleration

1.2.2. v=final velocity

1.2.3. u=initial velocity

1.2.4. t=time taken

1.3. Formula

1.3.1. a = change in velocity/time

1.3.2. a=v-u/t

1.4. Vector quantity

2. Scalar

2.1. A quantity that has magnitude

2.2. Examples

2.2.1. Mass

2.2.2. Length

2.2.3. Temperature

3. Speed

3.1. Rate of change of distance and time

3.2. Directly proportional

3.2.1. to

3.2.1.1. time

3.2.1.1.1. when distance is constant

3.2.1.2. distance

3.2.1.2.1. when time is constant

3.3. Symbols

3.3.1. ∆=Change

3.3.2. V=Average

3.4. Formula

3.4.1. speed=distance/time

3.5. Scalar quatity

4. Velocity

4.1. Rate of change of displacement with time (speed in a specific direction)

4.2. Symbols

4.2.1. ∆=Change

4.2.2. _ v=average velocity

4.2.3. ∆x=displacement

4.2.4. ∆t=change in time

4.3. Formula

4.3.1. velocity = displacement(m)/time(s)

4.3.2. _ v=∆x/∆t

4.4. Vector quantity

5. When velocity changes, acceleration exists. If an object is changing its velocity, such as its speed or direction, then it is said to be accelerating.

6. The relationship between displacement and acceleration is mediated by velocity, which is also a vector. Velocity is the rate of change of displacement. Displacement is the integral of velocity over time. Acceleration is the rate of change of velocity. Velocity is the integral of acceleration over time.

7. are related by a set of simple equations called the kinematic equations.

8. Kinematic Equations

8.1. Kinematic Variables:

8.1.1. Δx

8.1.1.1. Displacement

8.1.2. t

8.1.2.1. Time interval

8.1.3. Vo

8.1.3.1. Initial velocity

8.1.4. V

8.1.4.1. Final velocity

8.1.5. a

8.1.5.1. Constant acceleration

8.2. V=Vo+at

8.3. ∆x=(v+Vo/2)t

8.4. ∆x=Vot+1/2at^2

8.5. V^2=Vo^2+2a ∆x

9. Vector

9.1. Has both quantity and direction

9.2. Examples

9.2.1. Force

9.2.2. Momentum

9.2.3. Acceleration

10. Displacement

10.1. Distance travel in an specific direction

10.2. Symbol

10.2.1. ∆s

10.3. Formula

10.3.1. Displacement = (final position) - (initial position)

10.3.2. D = Xf -Xi

10.4. Vector quantity

11. Distance

11.1. The length of the entire path, or the length of the distance traveled.

11.2. Symbol

11.2.1. ∆s

11.3. Formula

11.3.1. Distance = speed x time

11.4. Scalar quantity