We can calculate the change in velocity that would be observed based on kinematics and force principles, meaning, acceleration of the ball as it rolls down. We can draw a free-body diagram for an object sliding down a frictionless incline that is at an angle, , above the horizontal. N is the normal force exerted on the object by the surface of the incline and mg is the gravity force exerted on the object by the Earth, the weight of the object. The normal force is perpendicular to the surface of the incline and the gravity force is vertically downward, toward the center of the Earth. Since the acceleration of the object is parallel to the incline, it is convenient to take our x and y coordinate axes to be parallel and perpendicular to the surface of the incline. If the x-axis is directed down the incline, then the acceleration of the object is in the +x-direction and ax = a.

Applying Newton's second law:

Fx= m*ax gives m*g*sin() = m*a. So then we see that: a = g*sin(). The object slides down the incline with constant acceleration, g*sin(), NOT just g.

For this prompt, I have a ball that weighs .171 kg and has an initial velocity of 13.74 m/s. It rolls down a ramp that is 1.215 m long and sits 0.085 m from the ground at an incline of 15 degrees. It strikes another object, a domino, that weighs .118 kg, that is stationary with an initial velocity of 0 m/s. I'm not sure what the prompt is asking me for.