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Why does an object not come to a complete stop at the top of the arc?
Wiki User
∙ 14y ago
Reason 1) A velocity vs. time plot of the motion would cross the time axis at the apex of its trajectory indicating a velocity of zero; if the velocity was never zero then a discontinuity would exist, i.e. the object would suddenly jump from one velocity to another with no intervening motion, that just seems way too unphysics like in this universe.
Reason 2) Finding the velocity as the limit of the time approaches zero would imply zero divided by zero which equals zero:
vinstantaneous = (lim x:0) ∆x/(lim t:0)∆t
= 0/0 (units)
=0 (units)
Wiki User
∙ 14y ago
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