A Machinist Turns on the Power on to a Grinding $1.5 \mathrm { rad } / \mathrm { s } ^ { 2 }$

Multiple Choice

A machinist turns on the power on to a grinding wheel at time t=0 s. The wheel accelerates uniformly from rest for 10 s and reaches the operating angular speed of 96 rad/s. The wheel is run at that angular velocity for 40 s and then power is shut off. The wheel slows down uniformly at $1.5 \mathrm { rad } / \mathrm { s } ^ { 2 }$ until the wheel stops. For how long a time after the power is shut off does it take the wheel to stop?

A) 68 s
B) 64 s
C) 62 s
D) 66 s
E) 70 s