# MIDTERM NOTES

Created Wednesday 25 May 2016

Dimension: Classification/Nature of physical quantity

Unit: Standard of measurement of a physical quantity

Dimensions

__distance -> L__

__time -> T__

__mass -> M__

Dimensional homogeneity means only quantities with the same dimensions may be compared, equated, added, or subtracted.

__Basically only stuff with same dimensions can be used mathematically.__

Quantity | SI Unit | Other SI Unit | Dimension |
---|---|---|---|

Force | kgms^-2 | N | MLT^-2 |

Energy | kgm^2s^-2 | J | ML^2T^-2 |

Power | kgm^2s^-3 | W | ML^2T^-3 |

Momentum | kgms^-1 | MLT^-1 | |

Impulse | kgms^-1 | MLT^-1 |

----------

## MIDTERM PREP STARTS HERE

----------

#### PDF 1

Distance != Displacement

Average Speed != Average velocity

Speed -> Distance

Velocity -> Displacement

Average acceleration -> Change in **velocity**

Negative acceleration != Deceleration

*"Negative acceleration is acceleration in the negative direction*

*as defined by the coordinate system."*

*"Deceleration occurs when the acceleration is opposite in*

*direction to the velocity (i.e. slowing down)"*

Integration gets you the **area under the curve**

for relative velocity

V(BW) is the velocity of the boat in the water frame - it is equal to V(B)-V(W)