Ascent Slope is 3.75

Descent slope is -2.5

Horizontal separation Of P and Q is 90

You will design the first ascent and drop for a new roller coaster. It will consist of an ascending linear segment (La) leading to a parabola (f) and ending on a descending linear segment (La), as shown in the figure. Refer to the end of this memo to learn what the slope of the ascending LI P and descending linear slopes should be for your project. O The linear segments (Li and Ly) join the parabola (f) at points P and Q. For the track to be Lz smooth, you want the linear segments (L and Ly) to be tangent to the parabola (f) at the transition points P and Q. Steps: 1. Refer to the table at the end of this memo for the values of the ascending slope. descending slope, and horizontal separation between P and Q. 2. Picture the roller coaster on an (x, y) grid. It helps to position point P at (0, 0). 3. Write the parabola as f (x) = ax + bx + c. Use the given information to write an equation that must be true for f(x) and two equations that must be true for f'(x). 4. Use the equations to find a, b, and c. 5. Graph L1, f(x), and 42 to verify graphically that the transitions are smooth. Label the graph appropriately. 6. Find the vertical separation between points P and