Question

Resultant velocity is calculated using which two math functions?

Answer 1

Sine and cosine

Step-by-step explanation:

Velocity is a vector, so it can be resolved into two components into two perpendicular direction.

Generally, we take the x- and the y- direction of the cartesian plane.

If call v the velocity vector, then the components of the velocity along the two directions are:

`v_x = v cos \theta\\v_y = v sin \theta`

where
`\theta` is the angle between the direction of the velocity and the x-axis.

Therefore, the resultant velocity can be found from its components by re-arranging the two equations above:

`v=(v_x)/(cos \theta)\\v=(v_y)/(sin \theta)`

Therefore, the two functions that are used are the sine and the cosine.