The ball B has mass M and is attached to the end of a rod whose mass may be neglected. If the rod is subjected to a torque M = { at }^{ 2 } + bt + c, determine the speed of the ball when t = { t }_{ 1 } . The ball has a speed v = { v }_{ 0 } when t = 0. Given: M = 10 kg , a = 3 N⋅m/ { s }^{ 2 } , b = 5 N⋅m/s , c = 2 N⋅m , { t }_{ 1 } = 2 s , { v }_{ 0 } = 2 m/s , L = 1.5 m