So, I need to verify whether or not the average velocity of an object going down an inclined ramp is equal the instantaneous speed of the object in the midpoint, and I need to figure out a simple way to explain it as well.
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$\begingroup$Velocity increases linearly with time. This means that average velocity occurs at the midpoint in time, which is definitely not the same as the midpoint in space.
$\endgroup$ 2 $\begingroup$Since the motion is at constant acceleration $a$, we have
- $s=at^2/2\implies t=\sqrt{\frac{2s}a}$
and therefore
- $v=at=\sqrt{2sa}$
which is not linear.
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