Calculus help needed please?

Does the track ever touch the ground? You know the equation for a parabola and you know at least two ordered pairs (point A and B). You'll need one more equation to solve the for the coefficients. Can you determine the min of the parabola by using a first derivative? Using points A and B, plus one more bit of information, you should be able to write out the parabolic equation then substitute to determine those coefficients.