Bradford T. answered 03/27/23
Retired Engineer / Upper level math instructor
The height equation is missing. However, assuming this is for earth where gravity,g=-32:
h(t) = gt2/2+vt+h0
When h = 12
-16t2+21t+6 = 12
-16t2+21t-6 = 0
t = (-21±√(441-4(-16)(-6)))/-32 = (-21±7.55)/-32
t=0.42, 0.892 seconds