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To obtain the instantaneous position from the accelerations:
  • A
    integrating twice acceleration with respect to time is sufficient.
  • B
    it is necessary to integrate twice the acceleration with respect to time, and to know the initial position only.
  • C
    it is necessary to integrate twice the acceleration with respect to time, and to know the initial speed only.
  • D
    it is necessary to integrate twice the acceleration with respect to time, and to know the initial position and the initial speed.

Summary table with 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 ----- Change in POSITION
SPEED   ONCE ----- DISTANCE traveled 

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