Consider the Atwood machine shown in the figure, where
m1 = 2.00 kg
and
m2 = 7.90 kg.
The system starts at rest, then the sphere is given a quick push downward, giving it an initial speed of 2.60 m/s.

A string passes over a pulley which is suspended from a horizontal surface. A circular object of mass m1 and a rectangular object of m2 are, respectively, attached to the left and right ends of the string. An arrow beside the circular object points upward with a plus symbol marked beside it while an arrow beside the rectangular object points downward and is also marked with a plus symbol beside it.
Assume the pulley and cord are massless, and the cord is inextensible. Neglect friction.
(a)
Through what distance (in m) will m1 descend?