1. The problem statement, all variables and given/known data A wheel of radius r is rolling along a muddy road with speed v, and particles of mud are being continuously thrown off from all points of the wheel. ignoring air resistance, what is the trajectory of a mud glob thrown off the wheel when it is at angle (theta) to the horizontal? at what (theta) is the height maximized? What is the meaning of the critical speed v^2 = rg? 2. Relevant equations v = 2(pi)r / T is the propagation velocity of the wheel. but my first question is, is this the same as the rotational velocity? i've thought about it for a while and it seems like it is. i am stumped as to how to find the trajectory of the mud glob though. please help! 3. The attempt at a solution well i guess im still stuck on figuring out if the propagation velocity is the same as the rotational velocity. after that i was thinking about playing with the velocity vectors to find an expression for the trajectory. the only force acting on the glob should be gravity i think.