A 31-m/s velocity vector that makes an angle of 44° counterclockwise from the -x direction.
x:
y:
31m/s[44o]
X = 31*cos44 =
Y = 31*sin44 =
To find the x and y components of the velocity vector, you can use trigonometry. Let's break down the given information:
Magnitude of the velocity vector (v): 31 m/s
Angle counterclockwise from the -x direction (θ): 44°
To find the x-component, you can use the cosine function:
x-component = v * cos(θ)
Substituting the values:
x-component = 31 m/s * cos(44°)
To find the y-component, you can use the sine function:
y-component = v * sin(θ)
Substituting the values:
y-component = 31 m/s * sin(44°)
Calculating the answers:
x-component ≈ 22.56 m/s
y-component ≈ 20.11 m/s
So, the x-component is approximately 22.56 m/s, and the y-component is approximately 20.11 m/s.