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

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The discussion explores the relationship between instantaneous velocity and average velocity, particularly under conditions of high acceleration. It posits that if an object experiences infinite acceleration, instantaneous and average velocities could converge. However, one participant clarifies that under constant acceleration from zero velocity, average velocity is always half of instantaneous velocity. Mathematically, average velocity is expressed as 0.5(AT), while instantaneous velocity is AT. Ultimately, both velocities approach the speed of light but do not equate under normal conditions.
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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.
 

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