Question

A golf ball is hit with an initial speed of 12.4m/s at an angle of 32°. What are the x-andy-components of its velocity?

Answer 1

x-component: 10.52 m/s

y-component: 6.57 m/s

Step-by-step explanation:

The x and y-components of the velocity can be calculated using the trigonometric functions sine and cosine. So, each component is equal to

`\begin{gathered} v_x=v\cos (\theta) \\ v_y=v\sin (\theta) \end{gathered}`

Where v is 12.4 m/s and θ is the angle of 32°. So, replacing the values, we get:

`\begin{gathered} v_x=12.4\cos (32)=10.52\text{ m/s} \\ v_y=12.4\sin (32)=6.57\text{ m/s} \end{gathered}`

Therefore, the x-component of its velocity is 10.52 m/s and the y-coordinate of its velocity is 6.57 m/s