Answer:
A = 15.0 cm; the vector is 30.00 north of west; = 15 cm N30W
Y - component = 7.5cm and X - component = -12.99 cm
B = 12.0 m; the vector is 55.00 north of east; = 12.0 m N55E
Y - component = 9.83 m and X - component = 6.88 m
C = 28.0 m/s; the vector is 40.00 south of west; = 28.0 m/s S40W
Y - component = - 17.998 m/s and X - component = - 21.448 m/s
D = 55.5 m/s2; the vector is 35.00 south of east; = 55.5 m/s² S35E
Y - component = - 31.835 m/s² and X - component = 45.466 m/s²
Explanation:
1. A = 15.0 cm; the vector is 30.00 north of west; = 15 cm N30W
Y - component = 15cm × sin30 = 7.5cm
X - component = -15cm × cos30 = -12.99 cm
2. B = 12.0 m; the vector is 55.00 north of east; = 12.0 m N55E
Y - component = 12.0 m × sin55 = 9.83 m
X - component =12.0 m × cos55 = 6.88 m
3. C = 28.0 m/s; the vector is 40.00 south of west; = 28.0 m/s S40W
Y - component = - 28.0 m/s × sin40 = - 17.998 m/s
X - component = - 28.0 m/s × cos40 = - 21.448 m/s
4. D = 55.5 m/s2; the vector is 35.00 south of east; = 55.5 m/s² S35E
Y - component = - 55.5 m/s² × sin35 = - 31.835 m/s²
X - component = 55.5 m/s² × cos35 = 45.466 m/s²
