Name ________________________
Vector Addition Worksheet
Directions: Graphically add each pair of vectors shown below in its box, making sure to show the vector
addition as well as the resultant with a dotted line and arrowhead. If there is no resultant, write “no R”.
Example:
R
R
R
R
R
R
R
R
R
R
R
R
R
12
6

R
NofE
mR
R
o
34)6/4(tan
)6/4(tan
2.7
5264
1
222
NofW
smR
R
o
7.38)5/4(tan
)50/40(tan
/64
41004050
1
222




SofW
cmR
R
o
4.39
)365/300(tan
472
223225300365
222
NofE
smR
R
o
3.31)23/14(tan
)23/14(tan
/27
7252314
1
2
222
SofE
mR
R
o
6.26)2/1(tan
)12/6(tan
4.13
180126
1
222
A
x
=30cos45
A
A
y
=30sin45
A
x
=50cos23
A
A
y
=50sin23
A
x
=130cos25
A
A
y
=130sin25
A
x
=300sin22
A
A
y
=300cos22
A
x
=12cos60
A
A
y
=12sin60
A
x
=77.4cos79
A
A
y
=77.4sin79
Vector Practice: Answers
Resultants:
1) 7.21 m @ 33.7
o
N of E or 56.3
o
E of N
2) 1 m @ S
3) 64.0 m/s @ 38.7
o
N of W or 51.3
o
W of N
4) 472 cm @ 39.4
o
S of W or 50.6
o
W of S
5) 26.9 m/s @ 31.3
o
N of E or 58.7
o
E of N
6) 13.4 m @ 26.6
o
S of E or 63.4
o
E of S
Components:
1) r
N
= 21.2 m r
E
= 21.2 m
2) r
N
= 19.5 m r
W
= 46.0 m
3) v
N
= 54.9 m/s v
E
= 118 m/s
4) r
N
= 278 m r
E
= 112 m
5) r
S
= 10.4 r
E
= 6
6) a
W
= 14.8 m/s
2
a
S
= 76.0 m/s
2