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 Boat 5ms-¹ -1 Speed 12ms¹ R Dock E Velocity vector 120 m North Today the current in the river is flowing at 5 ms¹¹. 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?

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 Boat 5ms-¹ -1 Speed 12ms¹ R Dock E Velocity vector 120 m North Today the current in the river is flowing at 5 ms¹¹. 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?

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

(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?

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