Answer:
[tex]\vec{v} = (77.68~{\rm ft/s})\^i + (7.01~{\rm ft/s})\^j[/tex]
Explanation:
The x- and y- components of the velocity vector can be written as following:
[tex]\vec{v}_x = ||\vec{v}||\cos(\theta)\^i[/tex]
[tex]\vec{v}_y = ||\vec{v}||\sin(\theta)\^j[/tex]
Since the angle θ and the magnitude of the velocity is given, the vector representation can be written as follows:
[tex]\vec{v} = 78\cos(0.09)\^i + 78\sin(0.09)\^j\\\vec{v} = (77.68~{\rm ft/s})\^i + (7.01~{\rm ft/s})\^j[/tex]
