A particle (a projectile) is thrown near the Earth's surface, and it moves along a curved path under the action of [url=https://en.wikipedia.org/wiki/Gravity]gravity[/url] only[i].[/i][br]Let the projectile be launched with an initial velocity [i]v[/i][sub]0[/sub] with the initial launch angle [math]\alpha[/math]. At any time [i]t[/i] the projectile's horizontal and vertical [url=https://en.wikipedia.org/wiki/Displacement_(vector)]displacement[/url] are[br][math]s(t) = [v_0\cdot t\cdot \cos(α), v_0\cdot t\cdot \sin(α) -\frac{gt²}{ 2} ][/math] [br][br]How far it will travel? [math]x_{max}=\frac{v_0^2 \cdot \sin 2\alpha}{g} [/math][br]Note that we have neglected air resistance on the projectile.[br](see [url=https://en.wikipedia.org/wiki/Projectile_motion]Wikipedia[/url])