In about 1640 the scientist Galileo investigated the relationship between the distance a ball rolls down a inclined plane and the time it takes to travel that distance. His observations are summarized: (We do not specify the actual units used to measure time and distance).

What is the conic section that fits the data?

parabola
hyperbola
ellipse

Refer back to the problem

Using the point (1, 33), determine the constant and then select which equation expresses distance fallen in terms of time.

33 = yx²
y = 33x²
x = 33y²