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5.
+
-/2 points OSColPhys2016 3.3.WA.012.
The magnitude of vector A is 9.2 units, and it points in the +x-direction, while a second vector B points in the +y-direction.
(a) If the vector A + B points 280 counterclockwise from the +x-direction, what is the magnitude of B?
units
(b) What is the magnitude of A + B?
units
Additional Materials
Reading

4704DD81-365C-469C-A600-59E099ABC5C4.jpeg

3.
+ -/2 points OSColPhys2016 3.3.WA.002.
A cheetah is running at a speed of 21.6 m/s in a direction of 63 north of west. Find the components of the cheetah's velocity along the following directions.
(a) the velocity component due north
m/S
(b) the velocity component due west
m/s
Additional Materials
Reading

5CE911D4-0B18-4C14-8F87-1F9E3487E4A9.jpeg

1 .
+
-/2 points OSColPhys2016 3.3.P.015.
Find the north and east components of the displacement (in km) from San Francisco to Sacramento shown in the figure below.
Point Arena
Roseville
Healdsburg
Sacramento
. Santa Rosa
Vallejo
S = 123 km
Stockton
459
San Francisco
Berkeley
East
Oakland
N
Modesto
San Jose
W
E
S
Glroy
Santa Cruz
. Salinas
Monterey
north component
km
east component
km
Additional Materials
Reading

7EE77F54-5CB0-4360-891E-55E83BFAA83A.jpeg

2. + -/1 points OSColPhys2016 3.3.WA.001.
The length of the slope of a mountain is 2790 m, and it makes an angle of 14.80 with the horizontal. What is the height of the mountain, relative to its base?
m
Additional Materials
Reading
Shares

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4.
+ -/4 points OSColPhys2016 3.3.WA.003.
My Note
As shown in the diagram below, a soccer player kicks a ball directly toward the goal along a displacement vector r, which has a length of 9.4 m and a direction 30 degrees east of south.
Alternatively, she could have kicked it to a second player standing directly in front of the goal along a displacement ry, who could have then kicked it to the goal along a displacement vector ry, as
shown. Find the magnitudes and directions of x and ry.
WO E
30.0
. .
Net
90
(a)
ry
magnitude
m
direction
---Select-- +
(b ) ry
magnitude
m
direction
--Select-- 4
Additional Materials
Reading

C14706FC-633C-4D0B-B117-7A9B0E7AD149.jpeg

6.
+-/2 points OSColPhys2016 3.3.WA.013. Tutorial.
My Notes
A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 2.5 x 10 kilometers before
turning 70 and traveling 2.1 x 10 kilometers before assuming the path towards the space station. If the captain had not ordered a course correction, what would have been the magnitude (in
meters) and direction (in degrees counterclockwise from the +x-axis) of the path of the spaceship if it had traveled through the nebula?
space station
nebula
B
spaceship
A'
magnitude
km
direction
. counterclockwise from the +x-axis
Additional Materials
Reading
Tutorial

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