A ball is released at the point x=2m on an inclined plane with a nonzero initial velocity.?

A ball is released at the point x=2m on an inclined plane with a nonzero initial velocity. After being released, the ball moves with constant acceleration. The acceleration and initial velocity of the ball are described by one of the following four cases:

case 1, a>0,v0>0;

case 2, a>0,v0<0;

case 3, a<0,v0>0;

case 4, a<0,v0<0.

1) In which of these cases will the ball definitely pass x=0 at some later time?

2)In which of these cases is more information needed to determine whether the ball will cross x=0?

3)In which of these cases will the ball come to rest momentarily at some time during its motion?

Answer:

This is the Best Answer for A ball is released at the point x=2m on an inclined plane with a nonzero initial velocity.?

1) Cases 3 and 4, with a<0, will result in the ball passing x = 0 eventually.

2) Case 2, with a>0 and v<0, is ambiguous.

3) Cases 2 and 3, where a and v have different signs, require the velocity to eventually change sign, meaning it will momentarily come to rest.