Question

Austin kicks a soccer ball with an initial velocity of 18.0 m/s at an angle of 35.0 degrees. what are the horizontal and vertical components of the initial velocity? round your answer to the nearest tenth

Answer 1

The answer is rounded to the nearest tenth, therefore the answer for the first is 14.7 m/s. And the second answer is 10.3 m/s.

Answer 2

The horizontal component is 14.7
`(m)/(s)`

The vertical component is 10.3
`(m)/(s)`

Step-by-step explanation:

When Austin kicks the soccer ball, the ball has a velocity with two components (please see the figure below)

The horizontal component is given by:

`v_(x) =v.cos35`

if we replace the value for the velocity, we have:

`v_(x) =18.cos35`

`v_(x) =14.7(m)/(s)`

And the vertical component is given by:

`v_(y)=v.sin35`

and replacing for the value for the velocity:

`v_(y)=18.sin35`

`v_(y)=10.3(m)/(s)`