Position From Piecewise Velocity
A hiker goes on an 8-hour hike. For the first 6 hours, their velocity is y = (2/3)x miles/hour. After 6 hours their velocity is defined by y = -x2 + 12x - 32 miles/hour. If the starting point is defined as x = 0, what is their position after 8 hours?
A
s(t) = 8 2/3 miles
B
s(t) = 15 1/3 miles
C
s(t) = 24 2/3 miles
D
s(t) = 17 1/3 miles