Answer:
[tex]v_x=37.50[/tex]
Explanation:
The rectangular components of a vector [tex]\vec v[/tex] having a magnitude v and angle θ are:
[tex]v_x=v\cos\theta[/tex]
[tex]v_y=v\sin\theta[/tex]
The golf ball has an initial speed of 75 m/s at an angle of 60 degrees.
The variables of the equations have the values:
v = 75 m/s
θ = 60°
Substituting into the formula:
[tex]v_x=75\cos 60^\circ[/tex]
[tex]v_x=75\cdot 0.5[/tex]
[tex]v_x=37.5~m/s[/tex]
Without specifying units and with precision to the hundredths place:
[tex]\mathbf{v_x=37.50}[/tex]
