Jamie is at the point J = (0, 8) offshore, needing to reach the destination D = (12, −3) on land as quickly as possible. The lake shore is the x-axis. Jamie is in a boat that moves at 10 uph, with a motor bike on board that will move 20 uph once the boat reaches land. Find the landing point P = (x, 0) that minimizes the total travel time from J to D. Assume that the trip from P to D is along a straight line.
Jamie is at the point J = (0, 8) offshore, needing to reach the destination D = (12, −3) on land as quickly as possible. The lake shore is the x-axis. Jamie is in a boat that moves at 10 uph, with a motor bike on board that will move 20 uph once the boat reaches land. Find the landing point P = (x, 0) that minimizes the total travel time from J to D. Assume that the trip from P to D is along a straight line.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 14E
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Jamie is at the point J = (0, 8) offshore, needing to reach the destination D = (12, −3) on land as quickly as possible. The lake shore is the x-axis. Jamie is in a boat that moves at 10 uph, with a motor bike on board that will move 20 uph once the boat reaches land. Find the landing point P = (x, 0) that minimizes the total travel time from J to D. Assume that the trip from P to D is along a straight line.
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