A quarterback throws a football with an angle of elevation 40° and speed 80 ft/s. Find the horizontal and vertical components of the velocity vector. (Round your answers to one decimal place.)

Respuesta :

Answer:

Horizontal component of velocity will be 61.28 ft/sec

Vertical component of the velocity will be 51.423 ft/sec

Explanation:

We have given velocity of football v = 80 ft/sec'

Angle at which football is thrown [tex]\Theta =40^{\circ}[/tex]

Now we have to fond the horizontal and vertical component of the velocity

Horizontal component of velocity [tex]v_x=vcos\Theta =80\times cos40^{\circ}=80\times 0.766=61.28ft/sec[/tex]

Vertical component of the velocity [tex]v_y=vsin\Theta =80\times sin40^{\circ}=51.423ft/sec[/tex]