Where do they meet? Kelly started at noon 1t = 02 riding a bike from Niwot to Berthoud, a distance of 20 km, with velocity 15 v12 02 (decreasing because of fatigue). Sandy started 1t + 122 at noon 1t 02 riding a bike in the opposite direction from Ber- thoud to Niwot with velocity u112 20 (also decreasing 1t + 122 because of fatigue). Assume distance is measured in kilometers and time is measured in hours. a. Make a graph of Kelly's distance from Niwot as a function of time. b. Make a graph of Sandy's distance from Berthoud as a function of time. c. When do they meet? How far has each person traveled when they meet? с. A d. More generally, if the riders' speeds are vi12 and 1t + 122 and the distance between the towns is D, B u12 1t + 122 what conditions on A, B, and D must be met to ensure that the riders will pass each other? e. Looking ahead: With the velocity functions given in part (d), make a conjecture about the maximum distance each person can ride (given unlimited time).

Where do they meet? Kelly started at noon 1t = 02 riding a bike from Niwot to Berthoud, a distance of 20 km, with velocity 15 v12 02 (decreasing because of fatigue). Sandy started 1t + 122 at noon 1t 02 riding a bike in the opposite direction from Ber- thoud to Niwot with velocity u112 20 (also decreasing 1t + 122 because of fatigue). Assume distance is measured in kilometers and time is measured in hours. a. Make a graph of Kelly's distance from Niwot as a function of time. b. Make a graph of Sandy's distance from Berthoud as a function of time. c. When do they meet? How far has each person traveled when they meet? с. A d. More generally, if the riders' speeds are vi12 and 1t + 122 and the distance between the towns is D, B u12 1t + 122 what conditions on A, B, and D must be met to ensure that the riders will pass each other? e. Looking ahead: With the velocity functions given in part (d), make a conjecture about the maximum distance each person can ride (given unlimited time).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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