What I am trying to show is that given a hill with a 2% grade, a scooter with a passenger (a combined weight of roughly 500 lbs) can exceed 40mph, where the scooter has a 2 horsepower engine, and has a flatland top speed of 30mph. Now I believe that there may be no max velocity given an...
The reason I put the max velocity on flat ground was because to my way of thinking, it gives some information about what it's max speed downhill might be. I appreciate the complexity of the issue, and have garnered some insight to the problem through your comments. If I find a reasonable...
Suppose some vehicle with mass m is moving down a hill with angle \theta . Say that the vehicle is exerting a force parallel to the ground of magnitude f . Suppose that the maximum velocity of the vehicle on flat ground is
v_{max} . What is the max velocity of the vehicle down the...