Abowling ball that is standing still on a table a.) will accelerate on its own if left alone b.) may start to move on its own and then fall off c.) has too much inertia to move d.) will not move unless acted on by another force

D.) will not move unless acted on by another force

Explanation:

This is well-explained by Newton's first law, also called "Law of inertia", which states that:

"an object in state of rest (or in state of motion with constant speed) will remain at rest (or will continue moving with constant speed) unless acted upon an unbalanced force".

In the situation described in the problem, we have a bowling ball at rest on the table. The ball is acted upon two balanced forces: the force of gravity, downward, and the normal reaction of the table, upward. According to the First Newton Law that we mentioned above, the ball will remain in its state of rest unless it will be acted upon another unbalanced force that can accelerate it.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west