Question

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.)

Answer 1

Horizontal component of velocity will be 61.28 ft/sec

Vertical component of the velocity will be 51.423 ft/sec

Step-by-step explanation:

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

Angle at which football is thrown
`\Theta =40^(\circ)`

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

Horizontal component of velocity
`v_x=vcos\Theta =80* cos40^(\circ)=80* 0.766=61.28ft/sec`

Vertical component of the velocity
`v_y=vsin\Theta =80* sin40^(\circ)=51.423ft/sec`