To find the velocity at time 2, 6, and 8, we must differentiate the position equation with respect to time.

X = 60 - 7t + 4t^2

Velocity (V) is the derivative of position (X) with respect to time (t):

V = dX/dt = -7 + 8t

Now we can plug in the values of time to find the velocity at those specific times:

Velocity at time 2 (V(2)):
V(2) = -7 + 8(2)
V(2) = -7 + 16
V(2) = 9

Velocity at time 6 (V(6)):
V(6) = -7 + 8(6)
V(6) = -7 + 48
V(6) = 41

Velocity at time 8 (V(8)):
V(8) = -7 + 8(8)
V(8) = -7 + 64
V(8) = 57

Therefore, the velocity at time 2 is 9, at time 6 is 41, and at time 8 is 57.