Instantaneous Velocity vs. Average Velocity: Is There a Limit?

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!Live_4Ever!
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I was doing my science homework and this sudden, random thought came into my mind.

If an object has very very very high (if not infinite) acceleration, wouldn't the instantaneous velocity be the same as the average velocity?

sorry if it sounds like a stupid question, but it has been bugging me the whole day..
 
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Nope average velocity is always half of your instantaneous velocity while dealing with constant acceleration started at 0 velocity.

Mathematically.

Average velocity = .5(AT)

Instantaneous velocity = AT
 
yes, they both will be equal to the speed of light.