Question

In an amusement park ride, a roller coaster car carries screaming patrons down a steep incline. On the way, they go through an artificial "thunderstorm" that involves sprinklers You're the technical consultant, and your boss gives you the parameters the ride must fit into. She wants customers to be subjected to the "rain" for only 0.2 seconds; furthermore, the length of the water spraying device is fixed, providing a set distance along the tracks during which the spray comes down. How far above the water sprayer should the roller coaster car start? If you have not collected the necessary data by the end of the lab session, simply describe the process you would take to solve this problem KINEMATIC EQUATIONS: V -Vo +(-9.8m/s) V2-Vo 2-2(-9.8m/s2)(y-Yo)

I'm a bit unsure on how I would go about solving this. The incline made a 25-degree angle under the thunderstorm area, and the rest of the measurements can be seen in the image, but I don't think I collected enough information. Any suggestions on how to solve a problem like this (even if there isn't an answer available) would be appreciated. Will rate.

Answer 1

AB = 100 cm BC = 15 cm Acceleration = g sin thats = g' g' = 9.8 sin 25 = 4.14 m/s^2 15 cm has to be cover in 0.2 sec, Let speed at point B = v_B S = ut + 1/2 g' t^2 (15/100) = v_B (0.2) + 1/2 (4.14) (0.2)^2 Required speed Al position - B v_B = 0.336 m/sec Now v^2_B = u^2 + 2 g' s (0.36)^2 = (0)^2 + 2 (4.14) (s) s = 0.013 m s = 1.36 cm Hence she will start from point - p 1.36 cm away from point - B or 16.36 cm away from point - c