A sip is heading due west at a steady speed of 15km/hr. A current of 3km/hr is running due south. Calculate the velocity of the ship relative to the seabed.
Answer
To calculate the velocity of the ship relative to the seabed, we need to use vector addition.
First, we represent the ship's velocity and the current's velocity as vectors.
The ship's velocity is heading due west, which means it has an x-component of -15 km/hr and a y-component of 0 km/hr.
The current is heading due south, which means it has an x-component of 0 km/hr and a y-component of -3 km/hr.
To find the velocity of the ship relative to the seabed, we add these vectors together.
Adding the x-components: -15 km/hr + 0 km/hr = -15 km/hr
Adding the y-components: 0 km/hr + (-3 km/hr) = -3 km/hr
Therefore, the velocity of the ship relative to the seabed is (-15 km/hr, -3 km/hr).