A road up a conical mountain is being planned.[br][br]Can you devise a measure of "steepness" for the road?[br]Does your measure depend on where you are on the road?[br][br]Can you devise a measure of "curvy-ness" for the road?[br]Does your measure depend on where you are on the road?[br][br]What about a hemispherical mountain?[br][color=#ff0000][i][b][br]What problems could/would you set for your students based on this applet?[/b][/i][/color]