Aim: How can we determine the x (horizontal) and y (vertical) components of a vector?
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Aim: How can we determine Aim: How can we determine the x (horizontal) and y the x (horizontal) and y (vertical) components of a (vertical) components of a vector? vector? Do Now: Do Now: Draw a vector that is 35 m/s 30° Draw a vector that is 35 m/s 30° North of West North of West Scale: Scale: 1 cm = 5 m/s 1 cm = 5 m/s N S W E 30° 35 m/s
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Aim: How can we determine the x (horizontal) and y (vertical) components of a vector?. Do Now: Draw a vector that is 35 m/s 30° North of West Scale: 1 cm = 5 m/s. N. 35 m/s. 30°. W. E. S. Measure the x and y components. - PowerPoint PPT Presentation
Transcript of Aim: How can we determine the x (horizontal) and y (vertical) components of a vector?
Aim: How can we determine the Aim: How can we determine the x (horizontal) and y (vertical) x (horizontal) and y (vertical)
components of a vector?components of a vector?
Do Now:Do Now:
Draw a vector that is 35 m/s 30° North Draw a vector that is 35 m/s 30° North of Westof West
Scale:Scale:
1 cm = 5 m/s1 cm = 5 m/s
N
S
W E30°
35 m/s
Measure the x and y Measure the x and y componentscomponents
N
S
W E30°
35 m/s
•Draw a perpendicular line from the head of the vector to the vertical axis
•Repeat for the horizontal axis
•Measure
•Multiply by the scale (1 cm = 5 m/s)
6.1 cm
3.6 cm
= 30.5 m/s
= 18 m/s
Solving MathematicallySolving Mathematically
►Use trigonometryUse trigonometry
SOHCAHTOASOHCAHTOA
N
S
W30°
35 m/s x
y
Solving for the vertical (y) component:
hyp
oppsin
sm
y
/3530sin
)/35)(30(sin smy
smy /5.17
Solving for the horizontal (x) component:
hyp
adjcos
sm
x
/3530cos
)/35)(30(cos smx
smx /3.30
Solve both graphically and Solve both graphically and mathematicallymathematically
80 N 50° East of North80 N 50° East of North
Scale:Scale:
1 cm = 20 N1 cm = 20 N
N
S
W E
50°
80 N
N
S
W E
50°
80 N
3.1 cm
= 62 N
2.7 cm
= 54 N
Solving for the horizontal (x) component:
hyp
oppsin
N
x
8050sin
)80)(50(sin Nx
Nx 3.61
Solving for the vertical (y) component:
hyp
adjcos
N
y
8050cos
)80)(50(cos Ny
Nx 4.51
So which method of obtaining So which method of obtaining the horizontal and vertical the horizontal and vertical
components is more accurate components is more accurate and why?and why?
