First we determine the motor's efficiency - a ratio of the mechanical output power and the electrical input power:

The output mechanical power is directly proportional to torque and angular speed. From this relationship we can isolate the torque:

whereby the last expression uses the angular speed in rpm units.
(a) we calculate the torque, given that the motor draws 1.2 times the rated current, i.e., 48 Amps:

(b) use formula for the acceleration time:

The startup time will be 0.74s
Kepler's 1st law is the law of ellipses