26. I A river flows due east at 20 mi/h. A boater attempting to cross the river heads N 30° E at 20 mi/h relative to the water. (a) Express the velocity of the river as a vector in component form. (b) Express the velocity of the boat as a vector in component form. (c) Find the true velocity of the boat (as a vector in component form). (d) Find the true speed and direction of the boat. Express the direction as a heading. 26. II A migrating salmon heads in the direction N 60° E, swimming at 6 mi/h relative to the water. The prevailing ocean currents flow due south at 2 mi/h. Find the true velocity of the fish as a vector. Find the true speed of the fish. 26. I (а) г %—D (20, 0) (b) 6 = (10, 10v3) (c) i = (30, 10v/3) (d) True speed is 20V3 mi/h, true direction is 0 = 30°. 26. II J= (3V3,1) %3|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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26. I A river flows due east at 20 mi/h. A boater attempting to cross the river heads N 30° E at
20 mi/h relative to the water.
(a) Express the velocity of the river as a vector in component form.
(b) Express the velocity of the boat as a vector in component form.
(c) Find the true velocity of the boat (as a vector in component form).
(d) Find the true speed and direction of the boat. Express the direction as a heading.
26. II A migrating salmon heads in the direction N 60° E, swimming at 6 mi/h relative to the water. The
prevailing ocean currents flow due south at 2 mi/h. Find the true velocity of the fish as a vector. Find the
true speed of the fish.
Transcribed Image Text:26. I A river flows due east at 20 mi/h. A boater attempting to cross the river heads N 30° E at 20 mi/h relative to the water. (a) Express the velocity of the river as a vector in component form. (b) Express the velocity of the boat as a vector in component form. (c) Find the true velocity of the boat (as a vector in component form). (d) Find the true speed and direction of the boat. Express the direction as a heading. 26. II A migrating salmon heads in the direction N 60° E, swimming at 6 mi/h relative to the water. The prevailing ocean currents flow due south at 2 mi/h. Find the true velocity of the fish as a vector. Find the true speed of the fish.
26. I (а) г %—D (20, 0)
(b) 6 = (10, 10v3)
(c) i = (30, 10v/3)
(d) True speed is 20V3 mi/h, true direction is 0 = 30°.
26. II J= (3V3,1)
%3|
Transcribed Image Text:26. I (а) г %—D (20, 0) (b) 6 = (10, 10v3) (c) i = (30, 10v/3) (d) True speed is 20V3 mi/h, true direction is 0 = 30°. 26. II J= (3V3,1) %3|
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