Problem 1. (20 pts.) The latest spring launcher from Korea stands 28.00000 cm tall. A quick test of the device shows that when it is pointed straight up, the 55.00000 g ball has a speed of 1.25700 m/s at a height of 75.00000 cm above the ground when the spring is compressed 6.93800 cm. (a) Given this information, what are the launch speed and peak height of the ball, as measured from the ground? (b) What is the spring constant of this spring launcher? (c) This new launcher is designed so that the top of the launcher (where the ball exits) remains at the same height, regardless of the angle of the launcher. If the launcher is placed at an angle of 55.00000 degrees with respect to the vertical and the spring were compressed by the same amount, what are the new launch speed and peak height of the ball, as measured from the ground? At the peak height, is the ball moving? If so, at what speed