In the simulation above the red ball's motion is always the same (5.00 m/s) while the blue ball's motion can be modified by changing the value of its acceleration (that is set by the slider). Note that for each part of this question you can use the simulation to help guide you, and in some cases to check your answer, but you should calculate numerical answers based on principles of physics rather than taking numbers directly from the simulation.

(a) What would the blue ball's acceleration have to be for the blue ball to win the race by a distance of 15.0 meters?

For the remaining questions set the acceleration of the blue ball to be 5.70 m/s2.

(b) How far is the second ball from the finish line when the first ball reaches the line?
(c) If the motion continues for both balls until the second ball reaches the finish line, what is the distance between the two balls at that time?