Two masses are suspended from springs, as shown. The first mass is pulled down 3 cm from its resting position and released. A second mass is pulled down 4 cm from its resting position. It is released just as the first mass passes its resting position on its way up. When released, each mass makes 12 bounces in 8 s.
a. Write a function for the height of each mass. Use the moment the second mass is released as t = 0.
b. At what times during the first 2 s will the two masses be at the same height? Solve graphically, and state your answers to the nearest 0.1 s.