In the Atwood machine shown in Figure 5.14a, m1 = 2.00 kg and m2 = 8.00 kg. The masses of the pulley and string are negligible by comparison. The pulley turns without friction and the string does not stretch. The lighter object is released with a sharp push that sets it into motion at vi = 2.80 m/s downward.

any help would be appreciated :)

Of course! I'd be happy to help you with this question. To start, could you please specify what exactly you need assistance with? Are you looking for the acceleration of the two masses or the tension in the string?