ON A SRAIGHT INCLINED TRACK, A BALL ROLLING UPHILL TAKES 1.3 SEC TO
SLOW DOWN FROM A VELOCITY OF 135CM/S TO A VELOCITY OF 65CM/S.  ON THE
SAME TRACK, HOW MUCH TIME WOULD IT TAKE A ROLLLING BALL WITH A
VELOCITY 85CM/S TO REACH A VELOCITY OF 0? EXPLAIN YOUR REASONING?

Hello again jayrock, using the motion equation:

Vf = Vi + at

We know that the same acceleration will act on both balls:

For the first ball:

65 cm/sec = 135 cm/sec + a (1.3 sec)

a = (65-135) cm/sec / 1.3 sec

a = -53.85 cm/sec^2

Plugging this acceleration into the equation for the 2nd ball:

0 = 85 cm/sec + (-53.85 cm/sec^2) t

t = 85/53.85

t = 1.58 sec

Hope this helps you out, Redhoss