Part A Find the x - and y -components of the vector d = (5.0 km , 27 left of + y

Question

Part A

Find the x- and y-components of the vector d  = (5.0 km , 27 left of +y-axis).

Express your answer using two significant figures. Enter the x and y components of the vector separated by a comma.

Part B

Find the x- and y-components of the vector v  = (3.0 cm/s , x-direction).

Express your answer using two significant figures. Enter the x and y components of the vector separated by a comma.

Part C

Find the x- and y-components of the vector a  = (17 m/s2 , 41 left of y-axis).

Express your answer using two significant figures. Enter the x and y components of the vector separated by a comma.

Explanation / Answer

1. d = (5.0km, 27 + 90) = (5.0km, 117)
x = rcos(theta) = 5.0km*cos(117) = -2.27
y = rsin(theta) = 5.0km*sin(117) = 4.46
Answer = (-2.27, 4.46)

2. v = (3.0cm/s, 180)
x = rcos(theta) = 3cos(180) = -3
y = rsin(theta) = 3sin(180) = 0
Answer = (-3,0)

3. a = (17, 270-41) = (17, 229)
x = rcos(theta) = 17cos(229) = -11.15
y = rsin(theta) = 17sin(229) = -12.83
Answer = (-11.15, -12.83)

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