Final answer:
The girl started rolling the ball at 11:59:47.5 a.m.
Step-by-step explanation:
The initial velocity of the basketball is 2.5 m/s. Given that it decelerates at a rate of -0.20 m/s², we can use the kinematic equation to find the time it takes for the basketball to come to a stop:
v = u + at
0 = 2.5 + (-0.20)t
t = -2.5 / -0.20 = 12.5 seconds.
Therefore, the girl started rolling the ball at 12:00 p.m. and it took 12.5 seconds for the ball to come to a stop, so she started the ball rolling at 12:00 p.m. - 12.5 seconds = 11:59:47.5 a.m.