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It’s all about perception
Shortest not fastest
If those balls move at the same speed then shortest route is the straight line.
So the fastest way from Nairobi to kisumu is via nanyuki?
The ball on the straight line is moving unnaturally. Nikama imewekwa speed governor.
You can’t argue with science, use gravity to your advantage
Wakosaji wa digri wanaendelea kujitokeza kila kuchao
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Hapo sasa. Gravity
This is a poor comparison. You have to factor frictional forces generated by gravity on those balls. A free falling body will have less friction and therefore travel faster. The shortest route is a straight line.
Shortest route is not fastest route.
Wacheni ufala. This is where differential calculus comes in.
If frictional forces are the same, the shortest route will always be the fastest route. The reason why the top ball is slow is because it encounters friction ( which is angular). Uliza @Euler what mg sine theta is.
An important question is answered by the following statements:
Fastest route - the route which takes the least time.
Shortest route - the shortest distance between the locations you set. This may not be the quickest route.
A good example is clear when using GPS:
GPS usually defaults to the fastest route. But sometimes, the route that the app displays may not be the shortest one distance-wise.
Only the laws of motion can explain this.