velocity and acceleration of a ball rolled down a curved surface?

Question

how do the velocity and acceleration of a ball rolling down a curved surface with a decreasing gradient vary? please state and explain how you deduced the answer. I know the acceleration due to gravity stays the same and the velocity would increase if the ball were just free falling, but this curved surface is really confusing me!


Thanks a lot in advance

? · Accepted Answer

You can measure the acceleration at different intervals.

Take the angles at the different points where the ball will be.
Use Sin(x), Cos(x), Tan(x), where x is the angle.
Use the reactance, to find the acceleration at each point.
The reactance will be the horizontal component, and the acceleration will be the vertical component.

The graph of this will look very similar to the curved surface.

- Sorry that I couldn't demonstrate, or give an example

velocity and acceleration of a ball rolled down a curved surface?

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