(II) A boat, whose speed in still water is 2.50 m/s, must cross a 285-m-wide river and arrive at a point 118 m upstream from where it starts (Fig. 3–45). To do so, the pilot must head the boat at a 45.0° upstream angle. What is the speed of the river's current? +118 m→ Finish River `current 285 m 45.0° FIGURE 3-45 Start Problem 48. Path of boat

(II) A boat, whose speed in still water is 2.50 m/s, must cross a 285-m-wide river and arrive at a point 118 m upstream from where it starts (Fig. 3–45). To do so, the pilot must head the boat at a 45.0° upstream angle. What is the speed of the river's current? +118 m→ Finish River `current 285 m 45.0° FIGURE 3-45 Start Problem 48. Path of boat

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

(II) A boat, whose speed in still water is 2.50 m/s, must
cross a 285-m-wide river and arrive at a point 118 m
upstream from where it starts (Fig. 3–45). To do so, the
pilot must head the boat at a 45.0° upstream angle. What
is the speed of the
river's current?
+118 m→
Finish
River
`current
285 m
45.0°
FIGURE 3-45
Start
Problem 48.
Path of
boat

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(i) (ii) (iii) Rylie has a boat which moves at a top speed of 12 ms¯¹ in still water. From point R, he wants to go due north to point D on the opposite side of the river, as shown in the diagram below. D River current 5ms-1 Boat Speed 12ms¹ R Dock E Velocity vector 120 m North Today the current in the river is flowing at 5 ms ¹. From R, he steers the boat due north toward D at top speed. Due to the current he drifts down the river and arrives at point E. Taking R as the origin, write down Rylie's velocity vector in the form xi+yj and find the magnitude of this vector. What is the bearing of Rylie's velocity vector and how far does he travel from R to E ? On what bearing should Rylie have pointed the boat, so that he arrived at the D, with the boat travelling at its top speed?