Answer:
The x and y components of the velocity vector are 7.66 m/s and 6.43 m/s respectively
Explanation:
Components of a Vector
Given a vector with a magnitude V and angle θ with respect to the positive horizontal direction, the x and y components of the vector are given by:
[tex]x=V\cos\theta[/tex]
[tex]y=V\sin\theta[/tex]
The question gives us the magnitude of the velocity V=10 m/s and the angle relative to the horizontal (assumed to the positive direction), then the components of the velocity vector are:
[tex]x=10\cos40^\circ=7.66\ m/s[/tex]
[tex]y=10\sin40^\circ=6.43\ m/s[/tex]
The x and y components of the velocity vector are 7.66 m/s and 6.43 m/s respectively
