Vector Addition Worksheet Directions: write “no R”.

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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

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