Position From Piecewise Velocity
A hiker embarks on an 8-hour hike. For the first 6 hours, the hiker's velocity is given by y = (2/3)x miles per hour. After 6 hours, the velocity is given by y = -x2 + 12x - 32 miles per hour. Assuming the starting position is x = 0, what is the hiker's position after 8 hours?
A
s(t) = 15 1/3 miles
B
s(t) = 8 2/3 miles
C
s(t) = 17 1/3 miles
D
s(t) = 24 2/3 miles