A yacht is cruising at a speed of 10.4 m/s in still water when it shuts off its engines and coasts to rest. The water exerts drag forces on the yacht such that its speed during-ctv,e, where v is the speed at time t, v0, and c is a constant. At a time of t = 17.5 s after the engines are cut, the speed isis the initial speed at tcoasting is given by v5.00 m/s.What is the constant c (in s) in the expression?(a)10.042(b) What is the speed (in m/s) at t = 40.0 s?1.95m/s(c)Given the expression above for the speed at any time, which of the expressions below gives the yacht's acceleration while coasting?а3 —су-ctа3 сеа %3D сVсVа%3ctа %3D —сеX\Note the acceleration (in one direction) is the derivative of the speed. Take the derivative with respect to time and check the resulting expression carefully. How does itcompare to the expression for the speed?

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Answered: A yacht is cruising at a speed of 10.4…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section: Chapter Questions

Problem 6STP

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