Question

A woman is driving at a velocity of 23.35 m/s at an angle of 29° What is the Xcomponent of her velocity?

Answer 1

Given:

Velocity, v = 23.35 m/s

θ = 29 degrees

Let's find the x-component of her velocity.

Here, we have the free body diagram below:

To find the x-component of her velocity, apply the formula:

`V_x=V\cos \theta`

Thus, we have:

`\begin{gathered} V_x=23.35\cos 29 \\ \\ V_x=20.42\text{ m/s} \end{gathered}`

Therefore, the x-component of her velocity is 20.42 m/s.

ANSWER:

20.42 m/s