A car travels for exactly 2 hours along a straight highway
MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
A car travels for exactly 2 hours along a straight highway, beginning at noon and ending at 2:00 P.M. Let s(t) be the distance, in miles, the car has traveled t hours after noon; assume s is continuous and differentiable for 0≤t≤2. What is the minimum total distance the car must cover during the trip in order to guarantee that at some instant its speed was at least 70 miles per hour?
(a) 150 miles
(b) 140 miles
(c) 120 miles
(d) 130 miles