Show from the Newtonian equations \(x=v_{0 \mathrm{x}} t\) and \(y=y_{0}-(1 / 2) g t^{2}\) for a particle moving in a uniform gravitational field \(g\), that the shape of its path is a parabola, given by

the same result we found using the Jacobi principle of least action.

Transcribed Image Text:

y yo- mgx2 4(E-mgyo)