You are riding on a roller coaster whose path can be modeled by y = 0.005x^2 - 2x + 200 where x and y are measured in feet. When t = 0 seconds, you are at the point (0, 200).

(a) When t = 4 seconds, the y-coordinate of your location is 32 feet high. What is the x-coordinate of your location in feet? (t is not part of the equation)

(b) When t = 4.23 seconds, the y coordinate of your location is 18 feet high. what is the x coordinate of your location in feet. (t is not part of the equation).

(c) What was your average speed in feet/sec between the two points? (enter the nmber rounded to the nearest whole number.)

I got part (a) and (b), they are 120 and 140 but I just don't know how to get part (c).

Guest May 18, 2020

#1**+1 **

a) 32 = .005 x^2 - 2x + 200 solve for 'x'

b) 18 = .005 x^2 - 2x + 200 solve for 'x'

c) average = (assuming you got correct a and b parts) = (140 - 120)/ (4.23 seconds - 4.0 seconds) = ......... f/s

ElectricPavlov May 18, 2020