acceleration vector given mass

Question

A ball of mass 2.0 kg is acted on by two forces , F1 = (+3.0N, 4.0N) and F2 = (-5.0N, +6.0N) . The acceleration vector, a, of the mass is (in m/s²)

Answer 1

So; Newton's 2nd Law is the best fit for this question:

F = ma, here F is a vector, mass is just a scalar(number), therefore, a(acceleration) is also a vector. Vector/Scalar = Vector

F₁ + F₂ = F(_net) = (3-5, 4+6) = (x1+x2, y1,y2) = (-2, 10)

F(_net) = ma then, Acceleration = F(_net) /m= (-2/2, 10/2) = (-1, 5)

So, a(x,y) = (-1,5) m/s²