Billiard ball A of mass mA = 0.100 kg moving with speed vA = 2.60 m/s strikes ball B, initially at rest, of mass mB = 0.150 kg . As a result of the collision, ball A is deflected off at an angle of α = 32.5 ∘ with a speed vA1 = 2.35 m/s . Part A Taking the x axis to be the original direction of motion of ball A, write down the equation expressing the conservation of momentum for the components in the x direction. Assume the velocity of ball B after collision is vB1 and that it is deflected off at an angle of β in the opposite direction from the x axis. Part B Write down the equation expressing the conservation of momentum for the components in the y direction. Express your answer symbolically in terms of the variables mA, mB, vA, vA1, vB1, α, and β.