1. Find x- and y-components of the vector d⃗ =(2.0km , 29∘ left of + y-axis).
2. Find x- and y-components of the vector v⃗ =(4.0cm/s , – x-direction).
3. Find x- and y-components of the vector a⃗ =(18m/s2 , 41∘ left of – y-axis).
1 Answer
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1. d = (2.0km, 29 + 90) = (2.0km, 119)
x = rcos(theta) = 2.0km*cos(119) = about -0.97
y = rsin(theta) = 2.0km*sin(119) = about 1.75
Answer = (-0.97, 1.75)
2. v = (4.0cm/s, 180)
x = rcos(theta) = 4cos(180) = -4
y = rsin(theta) = 4sin(180) = 0
Answer = (4,0)
3. a = (18, 270-41) = (18, 229)
x = rcos(theta) = 18cos(229) = about -11.81
y = rsin(theta) = 18sin(229) = about -13.58
Answer = (-11.81, -13.58)
Source(s): Engineering
