During a pregame warmup period, two basketballs collide above the hoop when in the posit...

During a pregame warmup period, two basketballs collide above the hoop when in the positions shown. Just before impact, ball 1 has a velocity v₁ which makes a 30° angle with the horizontal. If the velocity v₂ of ball 2 just before impact has the same magnitude as v₁, determine the two possible values of the angle θ, measured from the horizontal, which will cause ball 1 to go directly through the center of the basket. The coefficient of restitution is e = 0.8.