[latex]v_o=10m/s \\ s=50m \\ v_k=0m/s \\ v_k=v_o-atiff v_o-at=0 iff v_o=at|:a iff t=frac{v_o}{a}\\ s=v_ot-frac{at^2}{2}\\ s=v_ocdot frac{v_o}{a}-frac{a(frac{v_o}{a})^2}{2}iff s=frac{v_o^2}{a}-frac{acdot frac{v_o^2}{a^2}}{2}}iff s=frac{v_o^2}{a}-frac{v_o^2}{2a} \\ s=frac{2v_0^2}{2a}-frac{v_o^2}{2a}=frac{v_o^2}{2a}|cdot 2a \\ v_o^2=2sa|:2s \\ a=frac{v_0^2}{2s}=frac{(10m/s)^2}{2cdot 50m}=1m/s^2[/latex] Wszystkie obliczenia i przekształcenia są zawarte.
[latex]s= frac{a t^{2} }{2} [/latex] [latex]a= frac{vp-vk}{t} [/latex] [latex]t= frac{vp-vk}{a} [/latex] [latex]s= frac{a (vp-vk)^{2} }{2 a^{2} } [/latex] [latex]s= frac{ (vp-vk)^{2} }{2a} [/latex] [latex]a= frac{ (vp-vk)^{2} }{2s} [/latex] [latex]a= frac{ (10-0)^{2} }{2x50} [/latex] [latex]a=1 frac{m}{ s^{2} } [/latex]
