Answer:
Vertical component of velocity is [tex]81.35 ft/sec.[/tex]
Horizontal component of velocity is [tex]182.6 ft/sec[/tex].
Step-by-step explanation:
Horizontal component of velocity is defined as:
[tex]v_{x} = v\times cos\theta[/tex]
Vertical component of velocity is defined as:
[tex]v_{y} = v\times sin\theta[/tex]
Where [tex]v_{x} , v_{y}[/tex] are the horizontal and vertical components of velocity.
[tex]v[/tex] is the actual velocity and
[tex]\theta[/tex] is the angle with horizontal axis at which the object was thrown.
Here, we are provided with the following:
[tex]v = 200 ft/sec[/tex]
[tex]\theta = 24^\circ[/tex]
[tex]v_{x} = 200 \times cos24^\circ\\\Rightarrow 200 \times 0.913\\\Rightarrow v_{x} = 182.6 ft/sec[/tex]
[tex]v_{y} = 200 \times sin24^\circ\\\Rightarrow 200 \times 0.407\\\Rightarrow v_{y} = 81.35 ft/sec[/tex]
So, Vertical component of velocity is [tex]81.35 ft/sec.[/tex]
Horizontal component of velocity is [tex]182.6 ft/sec[/tex].
