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

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SUMMARY

The discussion centers on the relationship between instantaneous velocity and average velocity in the context of constant acceleration. It is established that under constant acceleration starting from zero velocity, the average velocity is always half of the instantaneous velocity. The mathematical representation is given as Average velocity = 0.5(AT) and Instantaneous velocity = AT, where both velocities approach the speed of light as acceleration increases. This clarifies that instantaneous and average velocities are not equal, even with high acceleration.

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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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