I’m trying to figure out what may be very simple but I can’t find any examples online or in Physics books. The goal is to determine the final location of a ball (golfball) rolling on an inclined plane (putting green). I know a putting green is very curved, but I’m trying to solve a simple case assuming the green is a plane tilted at an angle. The golfball is putt in an arbitrary direction not directly up or down the planes incline. I attached a picture of what I mean. In this case the ball is hit up the incline but to the right of straight up the plane. The putting green surface has enough friction to eventually stop the ball, so it’s not a frictionless problem, but the friction is constant at all speeds of the ball. Also, assume the putting green is not so steep that friction is not enough to slow the ball down. I’ve been studying free body diagrams fine, and if the ball goes straight up or down the incline, then the free body diagrams describes it perfectly and I can derive the final location of the ball knowing the initial velocity of the putt. So by not hitting the ball directly up or down the ramp, it adds a dimension to the calculation. Does this mean it becomes a projectile calculation or something else? I’m trying to keep this as simple as possible. The known values of this problem are: - Initial velocity (speed and direction): Vo Coefficient of rolling friction of the ball on the green: mu = .116 Mass of the ball: .0459 kg Gravity: 9.8 meters per second squared Golfball is just a point (keeping it simple) Golfball is rolling and not sliding (assume rolling from start of hit to keep it simple). Surface of green is not too steep, i.e. friction will always slow it down. Goals: Determine the final location of the ball Determine time to get from start to final location Determine where the ball is at any point in time (need parametric equations for this). I’m at a loss, so any help is appreciated.