Vector Addition Worksheet Directions: write “no R”.

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

R2 42 62 52 R 7.2m tan (4 / 6) tan1(4 / 6) 34o NofE

R

R2 502 402 4100 R 64m / s

tan (40 / 50) tan1(4 / 5) 38.7o NofW

R

R2 142 232 725 R 27m / s2 tan (14 / 23) tan1(14 / 23) 31.3o NofE

R

R 1.0m, South

R2 3652 3002 223225 R 472cm tan (300 / 365) 39.4o SofW

R

R2 62 122 180

R 13.4m

tan (6 /12)

tan1(1/ 2) 26.6o SofE

12

6

R

A

Ay =30sin45 Ax =30cos45

A

Ay =50sin23 Ax =50cos23

A

Ay =130sin25 Ax =130cos25

A

Ay =300cos22 Ax =300sin22

Ax =12cos60 Ay =12sin60

A

Ax =77.4cos79 Ay =77.4sin79

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

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