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+ -/1 points SerPSET9 3.P.002.
My Notes + Ask Your Teacher
If the rectangular coordinates of a point are given by (10, y), and its polar coordinates are (r, 39°), determine the value of y and r.
y=
3.
+ Ask Your Teacher
+ -/1 points SerPSET9 3.P.008.
My Notes
Vector A has a magnitude of 34 units and points in the positive y direction. When vector B is added to A, the resultant vector A + B points in the negative y direction with a
magnitude of 16 units. Find the magnitude and direction of B.
magnitude
unit(s)
direction
counterclockwise from the +x-axis
4.
+ -/1 points SerPSET9 3.P.013.
My Notes
+ Ask Your Teacher
A roller-coaster car moves 205 ft horizontally and then rises 137 ft at an angle of 33.0° above the horizontal. It next travels 137 ft at an angle of 49.0° downward (below the
horizontal). What is its displacement from its starting point? (Assume the initial horizontal motion of the car to be along the +x axis.)
magnitude
ft
direction
º counterclockwise from the +x-axis
A person walks 30.0° north of east for 3.12 km. How far would she have to walk due north and due east to arrive at the same location?
km (due north)
km (due east)
7.
+ -/1 points SerPSET9 3.P.021.
My Notes + Ask Your Teacher
While exploring a cave, a spelunker starts at the entrance and moves the following distances. She goes 75.0 m north, 250 m east, 108 m at an angle 30.0° north of east, and
160 m south. Find the resultant displacement from the cave entrance. The figure below suggests the situation but is not drawn to scale.
magnitude
direction
south of east
m
N
W-E
Cave
entrance
Final
position
S
8.
+ -/1 points SerPSET9 3.P.022.
My Notes + Ask Your Teacher
Use the component method to add the vectors A and B shown in the figure. Both vectors have magnitudes of 3.60 m and vector A makes an angle of 0 = 33.5° with the x
axis. Express the resultant A + B in unit-vector notation.
A + B =
B
- î - 6 ſ.
Consider the two vectors A = 5 î - ſ and B
(a) Calculate B
î
î
→
+
+
B
(b) Calculate A
î
+
î
(c) Calculate A+B
(d) Calculate A - B
à - B
o
(e) Calculate the directions of A + B and A-B.
A A+B
(counterclockwise from the +x axis)
A - B
Ā.
(counterclockwise from the +x axis)
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