The discussion revolves around calculating the trajectory equation of motion for a rock that touches a wall, focusing on the relationships between various parameters such as height, distance, angle, and velocity. The subject area includes projectile motion and kinematics.
The discussion is active, with participants sharing equations and suggesting different approaches to analyze the problem. Some participants propose using geometric insights and symmetry, while others focus on algebraic manipulation. There is recognition of the need for additional equations to resolve the system of variables, and various interpretations of the trajectory are being explored.
Participants note that they are working with multiple unknowns and equations, leading to challenges in finding a solution. There is also mention of constraints related to the problem setup, such as the horizontal distance being fixed at 3r and the need to eliminate certain variables from the equations.
Yes that is a better choice.PeroK said:It was even simpler to have the origin on the parabola itself at the top of the first wall, so that ##c = 0##
You should realize by now that this problem has nothing to do with the kinematics of the projectile. Velocity and acceleration are irrelevant. Your answer does not depend on them. The same question can be asked about a parabola painted on a wall.compaq65 said:Why there is a ##c## constant, if in
$$y = x\tan \theta - \frac{gx^2}{2v^2}\sec^2 \theta$$
I can only notice ##a## and ##b## coefficients. Because of that I get a little bit different answers. Which method is correct?