how do i find the vertical and horizontal components of velocity?
To find the vertical and horizontal components of velocity, you first need to know the angle of motion and the total velocity.
Let's assume you have a velocity vector V with an angle of θ relative to the horizontal axis and a magnitude of v.
To find the horizontal component (Vx) of the velocity, you can use the formula:
Vx = v * cos(θ)
The cosine of the angle gives you the ratio of the adjacent side (horizontal component) to the hypotenuse (total velocity). By multiplying this ratio with the magnitude of the velocity (v), you can find the horizontal component.
To find the vertical component (Vy) of the velocity, you can use the formula:
Vy = v * sin(θ)
The sine of the angle gives you the ratio of the opposite side (vertical component) to the hypotenuse (total velocity). By multiplying this ratio with the magnitude of the velocity (v), you can find the vertical component.
Therefore, to find the vertical (Vy) and horizontal (Vx) components of velocity, you need to know the angle (θ) and the magnitude (v) of the velocity vector.