Question

If you were to push the ball up the ramp, it would go up, slow down, and then come down the track again. Is there a point where the speed of the ball would be zero? Is there a point where the acceleration of the ball is zero?

Answer 1

When you push the ball, it gets some kinetic energy, which starts getting converted to gravitational potential energy, and the ball starts climbing up height. There comes a point at the top of the ramp where all the kinetic energy has been converted to potential energy.
So, the speed is zero at the top of the ramp, though only instantaneously.

Answer 2

thank you that helped!

Answer 3

But i dont think that the acceleration is zero anywhere. Because, at every point a net unbalanced force acts on it.

Answer 4

when (friction + mgsin theta)=F (when the mass has pushed up )
so a=0