Final answer:
The equation of motion for the rover involves separate equations for horizontal and vertical motion. For horizontal motion, x = xo + Vxt, and for vertical motion, y = Yo + (voy + vy)t - 1/2gt^2.
Step-by-step explanation:
The equation of motion for the rover can be derived by treating its motion as two independent one-dimensional motions, one horizontal and the other vertical. For horizontal motion, the equation is x = xo + Vxt, where Vx is the constant velocity. For vertical motion, assuming positive is up, the equation is y = Yo + (voy + vy)t - 1/2gt^2, where vy = voy - gt and g is the acceleration due to gravity.