1. No category

Name_______________________
AP Physics 1 Vector Extra Practice Worksheet 2014-15
1) For each problem do the following…
a. Draw out each vector (quick sketch – not to scale) to see which components are + or –
b. Using the trig functions sine and/or cosine calculate the vector components
c. Check to see if you provided a direction in your answer (you cannot imply +, it must be
stated)
I) 20m at 60 degrees to the right of the – y axis X comp: ____________ Y comp: ___________
II) 20m at 60 degrees to the above of the – x axis X comp: ____________ Y comp: ___________
III) 20m at 60 degrees to the above of the + x axis X comp: ____________ Y comp: ___________
IV) 20m at 60 degrees to the below of the + x axis X comp: ____________ Y comp: ___________
V) 20m at 60 degrees to the left of the + y axis X comp: ____________ Y comp: ___________
2) Graphical Prove that if vector A = 4 meters at 30O above the + X axis, that 3A = 12 meters at 30O
above the + X axis.
Name_______________________
3)
AP Physics 1 Vector Extra Practice Worksheet 2014-15
From #2 find the X and Y component vectors for the following vectors…
a. A
X comp:_____________________
Y comp: _____________________
b. 4A
X comp:_____________________
Y comp: _____________________
c. –A
X comp:_____________________
Y comp: _____________________
d. -8A
X comp:_____________________
Y comp: _____________________
e. (1/2)A X comp:_____________________
Y comp: _____________________
f.
Y comp: _____________________
A/2
X comp:_____________________
4a) What must you do to a vector to turn that vector into its opposite?
4b) What is the opposite of vector B, if B = 6 meters at 30O to the right of the – y axis? (Give the answer
with a positive magnitude)
4c) If vector C has the following components X component: -19m and Y components: 5m, what are the
components of its opposite?
5) For each of the following vectors re-reference the angles so that they are less than 90 degrees, and
find the X and Y component vectors
a) 10 m at 130O above the +X axis. ( Angle:_______________________)
X comp: _________________________ Y comp: _____________________________
b) 10 m at 230O above the +X axis. ( Angle:_______________________)
X comp: _________________________ Y comp: _____________________________
Name_______________________
AP Physics 1 Vector Extra Practice Worksheet 2014-15
6) Find the resultant of the following vectors
4m
30O
6m
6b) Re-solve 6a using vector components
i.
Quick visual of each vector, draw each vector (rough sketch) just to see what sign each
component is.
ii. Find the X and Y component for each vector (be careful of signs)
ii.
Organize and find the total X and Y components (use the box, or another tool that
works)
Iv. Make a rough sketch adding the X and Y totals together (tip to tail) and find the resultant use
Pythagorean Theorem and the tan-1 .
Name_______________________
4)
AP Physics 1 Vector Extra Practice Worksheet 2014-15
Find the resultant of 3C – D if C = 2 meters at 120O below the + X axis and D = 5 meters at 180O.
a. Quick sketch not to scale of each vector C and D
b. Find the X and Y components of C and D
c. Find the components of 3C and the opposite of D
d. Organize and find the total X and Y components
e. Draw the total X and Y components tip to tail, and find the resultant.