1. Find x and ycomponents of the vector d⃗ =(2.0km , 29∘ left of + yaxis).
2. Find x and ycomponents of the vector v⃗ =(4.0cm/s , – xdirection).
3. Find x and ycomponents of the vector a⃗ =(18m/s2 , 41∘ left of – yaxis).
1 Answer

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, 27041) = (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