Time Motion - Increasing Velocity

1) The two Top equalities of Equations govern the movements in this system:The Bottom Left Equation; a(i)-were looking for Integers when, a = 1,4,16,25, etc.[br][br]2) I updated this to show the two vectors velocity and acceleration.[br][br]3) Notice the different orientations the two vectors can obtain in relationship to each other.
Time Motion - Increasing Velocity

Information: Time Motion - Increasing Velocity