The discussion focuses on modeling the flight of an arrow using calculus, specifically through the equations of motion. The primary equation discussed is s(t) = -16t² + Vt + S, where V represents the initial velocity, S is the initial height, and t is time. Additionally, the need to incorporate the launch angle, represented by theta, is emphasized. The conversation also highlights the distinction between vertical and horizontal motion, introducing the equations h(t) = -16t² + ut + s and p(t) = wt, where u and w are the vertical and horizontal components of the initial velocity, respectively.
PREREQUISITESStudents in physics or calculus courses, educators teaching projectile motion, and anyone interested in mathematical modeling of physical phenomena.
Strictly speaking you have 2 equations, since V is a vector quantity.seansss said:Hey all I am trying to do a calculus project that deals with the flight of an arrow. At first glance I thought I would be using the eq s(t)=-16t^2+VT+S...V being the initial velocity, S initial height, and T for time. I quickly figured out that I needed to have a theta in there some where to account for the launch angle. Any help would be appreciated thanks.
sean