A lifeguard sitting in a tower spots a distressed swimmer, as indicated in the figure. To get to the swimmer, the lifeguard must run some distance along the beach at rate penter the water. and swim at rate q to the distressed swimmer. DistressedswimmerWaterLifeguardd-BeachtowerFigure for 33 and 34(A) To minimize the total time to the swimmer, shouldthe lifeguard enter the water directly or run somedistance along the shore and then enter the water?Explain your reasoning.(B) Express the total time T it takes the lifeguard toreach the swimmer in terms of 0, d. c, p. and q.(C) Find T (in seconds to0 = 51°, d = 380 m, c = 76 m, p = 5.1 m/sec, andq = 1.7 m/sec.(D) The following table from a graphing calculator dis-play shows the various times it takes to reach theswimmer for 0 from 55° to 85° (X represents 0 andY represents T). Explain the behavior of T relativeto 0. For what value of 0 in the table is the total timetwo decimal places) ifT minimum?

A lifeguard sitting in a tower spots a distressed swimmer, as indicated in the figure. To get to the swimmer, the lifeguard must run some distance along the beach at rate penter the water. and swim at rate q to the distressed swimmer.

A lifeguard sitting in a tower spots a distressed swimmer, as indicated in the figure. To get to the swimmer, the lifeguard must run some distance along the beach at rate penter the water. and swim at rate q to the distressed swimmer.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Distressed
swimmer
Water
Lifeguard
d-
Beach
tower
Figure for 33 and 34
(A) To minimize the total time to the swimmer, should
the lifeguard enter the water directly or run some
distance along the shore and then enter the water?
Explain your reasoning.
(B) Express the total time T it takes the lifeguard to
reach the swimmer in terms of 0, d. c, p. and q.
(C) Find T (in seconds to
0 = 51°, d = 380 m, c = 76 m, p = 5.1 m/sec, and
q = 1.7 m/sec.
(D) The following table from a graphing calculator dis-
play shows the various times it takes to reach the
swimmer for 0 from 55° to 85° (X represents 0 and
Y represents T). Explain the behavior of T relative
to 0. For what value of 0 in the table is the total time
two decimal places) if
T minimum?

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