In an arcade game, a ball is launched from the corner of a smooth inclined plane. The inclined plane makes a 33.3° angle with the horizontal and has a width of w = 42.9 cm. The spring-loaded launcher makes an angle of 45.0° with the lower edge of the inclined plane. The goal is to get the ball into a small hole at the opposite corner of the inclined plane. With what initial velocity should you launch the ball to achieve this goal?