1. Vector Worksheet 2 Answers 1. Determine the resultant of:
1. Determine the resultant of:
A = 30.0 N at 0o
B = 40.0 N at 90o
270 90
180 B
a2 + b2 = c2 A
(30)2 + (40)2 = R 2 x R x
2500 = R 2
R = 50 N
opp 40
tan x = =
adj 30
Bearing = = 53
tan x = 1.33
R = 50 N at 53o
x = tan -1 (1.33) = 53o

2. Determine the resultant velocity (magnitude and direction)
2. Plane = x 102 km/h south
Wind = km/h east
Determine the resultant velocity
(magnitude and direction)
270 90
180 x
a2 + b2 = c2
(400)2 + (80)2 = R 2 P R x
= R 2
R = 408 km/h W
opp 80
tan x = =
Bearing = = 169
adj
400
tan x = 0.20
R = 408 km/h at 169o
x = tan -1 (0.20) = 11o

3. (a) What is the resultant velocity?
3. River = 6.0 m/s to the west
Boat = 15 m/s to the south
River is 2.00 x 102 meters wide.
(a) What is the resultant velocity?
270 90
180
a2 + b2 = c2
(15)2 + (6)2 = R 2
15 m/s R
261 = R 2 x
R = 16 m/s
6 m/s
opp 6
tan x = =
adj 15
Bearing = = 202
tan x = 0.40
R = 16 m/s at 202o
x = tan -1 (0.40) = 22o

4. (b) How long does it take to reach the other side?
3. River = 6.0 m/s to the west
Boat = 15 m/s to the south
River is 2.00 x 102 meters wide.
(b) How long does it take to reach the other side?
d = v t
v v
200 m
16 m/s
15 m/s d
t = v
6 m/s
Use the velocity
of the boat
across the river
200 m
t =
15 m/s
t = 13 s

5. (c) How far downstream has it traveled when it reaches the other side?
3. River = 6.0 m/s to the west
Boat = 15 m/s to the south
River is 2.00 x 102 meters wide.
(c) How far downstream has it traveled when it reaches
the other side?
d = v t
200 m
16 m/s
15 m/s
= ( 6.0 m/s )( s )
6 m/s
d = 80 m d

6. 4. Determine the resultant of: A = 125 N at 270o B = 40.0 N at 180o
4. Determine the resultant of:
A = 125 N at 270o
B = 40.0 N at 180o
270 90
180 A x
a2 + b2 = c2 x B R
(125)2 + (40)2 = R 2
= R 2
opp 40
R = 131 N
tan x = =
adj
125
tan x = 0.32
Bearing = = 252
x = tan -1 (0.32) = 18o
R = 131 N at 252o

7. 5. Determine the resultant of: A = 75 N at 0o B = 48 N at 270o
5. Determine the resultant of:
A = 75 N at 0o
B = 48 N at 270o
270 90 B
180 A
a2 + b2 = c2 x R
(75)2 + (48)2 = R 2 x
7929 = R 2
opp 48
R = 89 N
tan x = =
adj 75
tan x = 0.64
Bearing = = 327
x = tan -1 (0.64) = 33o
R = 89 N at 327o