Answer:[tex]0.345 m/s^2[/tex]
Explanation:
Given
mass of skier [tex]m=63.9 kg [/tex]
Force [tex]F=125 N[/tex]
inclination of Force with horizontal [tex]\theta =31.5[/tex]
Water force [tex]F_w=84.5 N[/tex]
Resolving Forces
[tex]F\cos (31.5)-84.5=m\cdot a[/tex]
where a=acceleration of skier
[tex]125\cos (31.5)-84.5=63.9\times a[/tex]
[tex]a=\frac{106.58-84.5}{63.9}[/tex]
[tex]a=0.345 m/s^2[/tex]
This acceleration is in x direction therefore [tex]a_x=a=0.345 m/s^2[/tex]
