A free fall of a material point

A free fall of a material point is being examined. In order to find the solution of the considered example formulas for an accelerated motion and kinetic and potential energy in the gravitational field are used.

$$v = v_0 + a \cdot t$$
$$s = v_0 \cdot t + \frac{a \cdot t^2}{2}$$
$$E_k = \frac{m \cdot v^2}{2}$$
$$E_p = m \cdot g \cdot h$$

A free fall of a material point

Oblique throw – motion equation

Material point is thrown with start velocity v0. Between ground plane and vector of velocity v0 is an angle α. Material point is inside gravity field described by gravity acceleration g. Vector of gravity acceleration g is perpendicular to ground plane. It is assumed that move takes place in vacuum. It means that there is no air resist. Subject of example is to find equation of trajectory and value of angle which will provide maximal range of throw.