A car is moving with a velocity of 10.1m/s [N] while on a ferry that is moving across a lake. If an observer on a shore measures the velocity of the car to be 29.0m/s [N] how quickly is the ferry moving?

To find the velocity of the ferry, we can use the principle of relative velocity. The observer on the shore measures the velocity of the car relative to the stationary shore. So the velocity of the car with respect to the shore is 29.0 m/s [N].

Given that the velocity of the car relative to the ferry is 10.1 m/s [N], we can subtract this value from the velocity of the car relative to the shore to find the velocity of the ferry.

Velocity of the ferry = Velocity of the car relative to the shore - Velocity of the car relative to the ferry.

Let's substitute the given values into the equation:

Velocity of the ferry = 29.0 m/s [N] - 10.1 m/s [N]
Velocity of the ferry = 18.9 m/s [N]

Therefore, the ferry is moving at a velocity of 18.9 m/s [N].