Aferry approaches shore, moving north with a speed of 6.2 m/s relative to the dock. a person on the ferry walks from one side of the ferry to the other, moving east with a speed of 1.5 m/s relative to the ferry. what is the speed of the person relative to the dock?

Speed of Ferry is towards North with magnitude 6.2 m/s

Here if we assume that North direction is along Y axis and East is along X axis then we can say

Now a person walk on ferry with speed 1.5 m/s towards east with respect to Ferry

so it is given as

also by the concept of relative motion we know that

now plug in all values in it

now if we need to find the speed of the person then we need to find its magnitude

so it is given as