As the height of the roller coaster increases, the speed of the marble decreases; and vice versa. When the height of the roller coaster is at it’s peak, the highest point, and the motion of the marble is going uphill; the speed has less kinetic energy than it has potential. The potential energy is being stored up, as the marble’s velocity is at an upward motion. Once the ball reaches the highest point and starts moving in a downwards motion, it releases the stored energy and gains kinetic energy. While the marble is in motion, both the potential and kinetic energy have to be balanced. For example : the top of the second hill contains a 50-50 relationship between kinetic and potential energy. As the ball goes downwards, the kinetic energy becomes more than the potential energy, and vise versa when the ball goes uphill. As an example, positions 1 and 5 are the positions that the object gains potential energy; the speed at position 1 is 38.31 cm/sec, and the following two speeds show the effects of kinetic energy. Position 2’s speed is 150.79 cm/sec and position 3’s speed is 180.95 cm/sec. On position 4, the object gains potential energy and loses kinetic energy because of the uphill motion, speed at position 4 is 155.74 cm/sec; and on position 5, the speed is 106.74 cm/sec. The change in these speeds show…