A 35 kg ball is launched upwards from the surface of the Earth and rises a distance of 4 Earth radii above the surface. Assume that ale resistance is negligible. The Earth's mass is 5.97 x 1024 kg and its radius is 6,37 x 10m. (a) Calculate the launch velocity of the ball. (b) If the ball were placed into orbit at this altitude, calculate how long it would take for the ball to orbit the Earth three times.