Problem Statement | A ball, initially at point i is rolling to the right on a horizontal track at a constant speed. After a dis- tance of 1, there is a dip in the track and the ball rolls down a near vertical incline, never leaving the track. It then travels a distance w on a horizontal portion of track, ending up at point f. It is noted that w = 1 = 1.10 m and the ball is initially travel- ing at a speed of 7.50 cm/s. 90 cm -. O h O - 1 W (a) Only one of the following equations could represent the relation between speed (v), distance (x), and time (t). Use that equation to find how long it takes for the ball to travel the distance |1. Explain what about that equation tells you it could be correct (you can't just say because I know that equation). + 2 X t X V = V = - t 2 V = V = V2 = V = (b) Now consider the full journey of the ball, starting at point i and ending at point f. Draw a physical representation of the initial position vector, the final position vector, and the change in position vector. Use a coordinate system where the origin is at the camera at point O in the diagram, directly above the initial position of the ball. (c) If h = 0.40 m, determine the x and y components of the initial position vector, final position vector, and change in position vector using the origin O. (d) Would you expect the ball to take the same amount of time to travel , as it does w? Explain your reasoning using any combination of words, diagrams, math, etc