Montrer que le mouvement dans un champ uniforme est plan Problème

\overrightarrow{a}\begin{cases} a_x = 0 \cr \cr a_y = - g \cr \cr a_z = 0 \end{cases}

\overrightarrow{a}\begin{cases} a_x = 0 \cr \cr a_y =  g \cr \cr a_z = 0 \end{cases}

\overrightarrow{a}\begin{cases} a_x = m \times v_0 \cr \cr a_y = - g \cr \cr a_z = 0 \end{cases}

\overrightarrow{a}\begin{cases} a_x = 0 \cr \cr a_y = - \dfrac{g}{m} \cr \cr a_z = 0 \end{cases}

\overrightarrow{v_0}\begin{cases} v_{0x }= v_0 \times \text{cos}(\alpha) \cr \cr v_{0y} = v_0 \times \text{sin}(\alpha) \cr \cr v_{0z} = 0 \end{cases}

\overrightarrow{v_0}\begin{cases} v_{0x }= - v_0 \times \text{cos}(\alpha) \cr \cr v_{0y} = v_0 \times \text{sin}(\alpha) \cr \cr v_{0z} = 0 \end{cases}

\overrightarrow{v_0}\begin{cases} v_{0x }= v_0 \times \text{cos}(\alpha) \cr \cr v_{0y} = - v_0 \times \text{sin}(\alpha) \cr \cr v_{0z} = 0 \end{cases}

\overrightarrow{v_0}\begin{cases} v_{0x }= v_0 \times \text{sin}(\alpha) \cr \cr v_{0y} = v_0 \times \text{cos}(\alpha) \cr \cr v_{0z} = 0 \end{cases}

\overrightarrow{v\left(t\right)} \begin{cases} v_{x} = v_{0} \times \cos(\alpha) \cr \cr v_{y} =-g \times t + v_{0} \times \sin(\alpha)\cr \cr v_z = 0 \cr \end{cases}

\overrightarrow{v\left(t\right)} \begin{cases} v_{x} = v_{0} \times \cos(\alpha) \cr \cr v_{y} =g \times t + v_{0} \times \sin(\alpha)\cr \cr v_z = 0 \cr \end{cases}

\overrightarrow{v\left(t\right)} \begin{cases} v_{x} = \dfrac{v_{0}}{m} \times \cos(\alpha) \cr \cr v_{y} =-g \times t^2 + v_{0} \times \sin(\alpha)\cr \cr v_z = 0 \cr \end{cases}

\overrightarrow{v\left(t\right)} \begin{cases} v_{x} =-g \times t^2 + v_{0} \times \sin(\alpha)  \cr \cr  v_{y} = v_{0} \times \cos(\alpha) \cr \cr v_z = 0 \cr \end{cases}

\overrightarrow{OM\left(t\right)} \begin{cases} x(t) = v_{0} \times \cos(\alpha) \times t \cr \cr y(t) =-\dfrac{1}{2} \times g \times t^2 + v_{0} \times \sin(\alpha) \times t \cr \cr z(t) = 0 \cr \end{cases}

\overrightarrow{OM\left(t\right)} \begin{cases} x(t) = v_{0} \times \cos(\alpha) \times t \cr \cr y(t) =\dfrac{1}{2} \times g \times t^2 + v_{0} \times \sin(\alpha) \times t \cr \cr z(t) = 0 \cr \end{cases}

\overrightarrow{OM\left(t\right)} \begin{cases} x(t) = \dfrac{v_{0}}{m} \times \cos(\alpha) \times t \cr \cr y(t) =-\dfrac{1}{2} \times g \times t^3 + v_{0} \times \sin(\alpha) \times t \cr \cr z(t) = 0 \cr \end{cases}

\overrightarrow{OM\left(t\right)} \begin{cases} x(t) = v_{0}  \times t \cr \cr y(t) =-\dfrac{1}{2} \times g \times t^2 \cr \cr z(t) = 0 \cr \end{cases}