25. A person starts walking from home and walks 4 miles east, 2 miles southeast, 5 miles south, 4 miles southwest, and 2 miles east. How far have they walked? If they walked straight home, how far would they have to walk? 26. A person starts walking from home and walks 4 miles east, 7 miles southeast, 6 miles south, 5 miles southwest, and 3 miles east. How far have they walked? If they walked straight home, how far would they have to walk? 27. Three forces act on an object: F =(-8,-5), F₂ = (0,1), F, =(4,-7). Find the net force acting on the object. 28. Three forces act on an object: F = (2,5), F₂ = (8,3), F, = (0,-7). Find the net force acting on the object. 29. A person starts walking from home and walks 3 miles at 20° north of west, then 5 miles at 10° west of south, then 4 miles at 15° north of east. If they walked straight home, how far would they have to walk, and in what direction? 30. A person starts walking from home and walks 6 miles at 40° north of east, then 2 miles at 15° east of south, then 5 miles at 30° south of west. If they walked straight home, how far would they have to walk, and in what direction? 31. An airplane is heading north at an airspeed of 600 km/hr, but there is a wind blowing from the southwest at 80 km/hr. How many degrees off course will the plane end up flying, and what is the plane's speed relative to the ground?
25. A person starts walking from home and walks 4 miles east, 2 miles southeast, 5 miles south, 4 miles southwest, and 2 miles east. How far have they walked? If they walked straight home, how far would they have to walk? 26. A person starts walking from home and walks 4 miles east, 7 miles southeast, 6 miles south, 5 miles southwest, and 3 miles east. How far have they walked? If they walked straight home, how far would they have to walk? 27. Three forces act on an object: F =(-8,-5), F₂ = (0,1), F, =(4,-7). Find the net force acting on the object. 28. Three forces act on an object: F = (2,5), F₂ = (8,3), F, = (0,-7). Find the net force acting on the object. 29. A person starts walking from home and walks 3 miles at 20° north of west, then 5 miles at 10° west of south, then 4 miles at 15° north of east. If they walked straight home, how far would they have to walk, and in what direction? 30. A person starts walking from home and walks 6 miles at 40° north of east, then 2 miles at 15° east of south, then 5 miles at 30° south of west. If they walked straight home, how far would they have to walk, and in what direction? 31. An airplane is heading north at an airspeed of 600 km/hr, but there is a wind blowing from the southwest at 80 km/hr. How many degrees off course will the plane end up flying, and what is the plane's speed relative to the ground?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:25. A person starts walking from home and walks 4 miles east, 2 miles southeast, 5 miles
south, 4 miles southwest, and 2 miles east. How far have they walked? If they
walked straight home, how far would they have to walk?
26. A person starts walking from home and walks 4 miles east, 7 miles southeast, 6 miles
south, 5 miles southwest, and 3 miles east. How far have they walked? If they
walked straight home, how far would they have to walk?
27. Three forces act on an object: F =(-8,-5), F₂ = (0,1), F₂ =(4,-7). Find the net
force acting on the object.
28. Three forces act on an object: F = (2,5), F₂ = (8,3), F₂ = (0,-7). Find the net force
acting on the object.
29. A person starts walking from home and walks 3 miles at 20° north of west, then 5
miles at 10° west of south, then 4 miles at 15° north of east. If they walked straight
home, how far would they have to walk, and in what direction?
30. A person starts walking from home and walks 6 miles at 40° north of east, then 2
miles at 15° east of south, then 5 miles at 30° south of west. If they walked straight
home, how far would they have to walk, and in what direction?
31. An airplane is heading north at an airspeed of 600 km/hr, but there is a wind blowing
from the southwest at 80 km/hr. How many degrees off course will the plane end up
flying, and what is the plane's speed relative to the ground?
32. An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing
from the northwest at 50 km/hr. How many degrees off course will the plane end up
flying, and what is the plane's speed relative to the ground?
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