Final answer:
The vertex of the parabola is (0,0).
Step-by-step explanation:
The given trajectory equation is in the form y = ax + bx², which represents a parabola. To find the vertex of the parabola, we can use the formula h = -b/2a, where (h,k) is the vertex. In this case, a = b = -5. Substituting these values, we find h = -(-5)/(2(-5)) = 0. Therefore, the vertex of the parabola is (0,0).