I'm trying to find the parametric solutions for a 2-dimensional set of kinematics equations.
My params are:
Δx, Δy- initial and target positions.Vx, Vy- initial velocity.A- the acceleration magnitude.
My variables are:
t- time to reach x1, y1.Ax- acceleration in the x axis.Ay- acceleration in the y axis.
Given this and the kinematic equations I have this set:
$$ \left\{ \begin{array}{l} a_x^{2}+a_y^2=A^2 \\ Δx = v_xt + a_xt^2 \\ Δy = v_yt + a_yt^2 \end{array} \right. $$
I can't seem to find a technic to solve this set. Even when putting this in Wolfram Alpha with the parameters, it doesn't provide me a solution.
Is there even a way to solve this? Thanks.