Acceleration integrated over time:
- Once = change in velocity.
- Twice = change in position. It is also true if we state that integrating velocity once over time gives the change in position.
Summary table of the integration process of the INS and the required inputs:
Integrate with time ... | How many times? | Additional Input(s) | Output |
ACCELERATION | Once | Initial SPEED | Instantaneous SPEED |
ACCELERATION | Once | ----- | Change in SPEED (velocity) |
ACCELERATION | TWICE | Initial POSITION + Initial SPEED |
Instantaneous POSITION |
ACCELERATION | TWICE | ----- | POSITION |
SPEED | ONCE | ----- | DISTANCE traveled |
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