A sailboat departs a harbor sailing due east at a constant 4 knots
MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A sailboat departs a harbor sailing due east at a constant 4 knots. Simultaneously, a powerboat begins traveling due north from the same point with a velocity given by v(t) = 2t knots, where t is measured in hours. After 3 hours, how fast is the straight-line distance between the two vessels increasing?
(a) 7.2 knots
(b) 6.3 knots
(c) 6.8 knots
(d) 4.8 knots