We can be given a velocity in more than one way. One way is to be given a speed together with a bearing. The velocity can be found using trigonometry.
Example: A car is travelling at 50m/s on a bearing of 240 degrees. Find the velocity.
The vertical componenent of the velocity is
The horizontal component of the velocity is
The velocity is
We may be given the direction as a vector. If we are told the speed is 8m/s in direction
which has magnitude
then we can compare the speed with the length of this vector. It is
times bigger, so we can multiply
by 1.6 to get the velocity vector. It is