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  1.0m, South
R  4  6  52
R  7.2m
2
2
2
tan   (4 / 6)
  tan1 (4 / 6)  34o NofE
R 2  3652  3002  223225
R  472cm
tan   (300 / 365)
R
  39.4o SofW

R 2  502  402  4100
R  64m / s

R
tan   (40 / 50)
  tan1 (4 / 5)  38.7o NofW
R 2  62  122  180
R  13.4m
tan   (6 / 12)
  tan1 (1 / 2)  26.6o SofE
R
12

6
R 2  142  232  725
R  27m / s 2
tan   (14 / 23)
  tan1 (14 / 23)  31.3o NofE

R
A
A
Ay =30sin45
Ay =50sin23
Ax =30cos45
Ax =50cos23
A
A
Ay =300cos22
Ay =130sin25
Ax =300sin22
Ax =130cos25
Ax =12cos60
Ax =77.4cos79
Ay =12sin60
Ay =77.4sin79
A
A
Vector Practice: Answers
Resultants:
1) 7.21 m @ 33.7o N of E or 56.3o E of N
2) 1 m @ S
3) 64.0 m/s @ 38.7o N of W or 51.3o W of N
4) 472 cm @ 39.4o S of W or 50.6o W of S
5) 26.9 m/s @ 31.3o N of E or 58.7o E of N
6) 13.4 m @ 26.6o S of E or 63.4o E of S
Components:
1) rN = 21.2 m
2) rN = 19.5 m
3) vN = 54.9 m/s
4) rN = 278 m
5) rS = 10.4
6) aW = 14.8 m/s2
rE = 21.2 m
rW = 46.0 m
vE = 118 m/s
rE = 112 m
rE = 6
aS = 76.0 m/s2