Question

A person going for a morning jog on the deck of a cruise ship is running toward the bow (front) of the ship at 3.6 m/s, while the ship is moving ahead at 11.3 m/s. What is the velocity of the jogger relative to the water?

Answer 1

The jogger's velocity relative to the water is the sum of the jogger's speed relative to the ship and the ship's speed relative to the water, which is 14.9 m/s towards the bow of the ship.

Step-by-step explanation:

The velocity of the jogger relative to the water is the vector sum of the jogger's velocity relative to the ship and the ship's velocity relative to the water. Since both velocities are in the same direction, we can add them as scalars. The jogger's speed relative to the deck of the ship is 3.6 m/s, and the ship's speed relative to the water is 11.3 m/s.

To find the jogger's velocity relative to the water, we simply add these two speeds together:

Velocity of jogger relative to water = Velocity of jogger relative to ship + Velocity of ship relative to water

= 3.6 m/s + 11.3 m/s

= 14.9 m/s

Thus, the jogger's velocity relative to the water is 14.9 m/s moving towards the bow of the ship.

Answer 2

The velocity of the jogger relative to the water is -7.7 m/s.

Step-by-step explanation:

To find the velocity of the jogger relative to the water, we need to use the concept of relative velocity. The velocity of the jogger relative to the water is the difference between the jogger's velocity and the ship's velocity. In this case, the jogger is running at 3.6 m/s towards the front of the ship (bow) and the ship is moving ahead at 11.3 m/s.

Therefore, the velocity of the jogger relative to the water is:

Velocity of jogger relative to water = Velocity of jogger - Velocity of ship

Substituting the given values:

Velocity of jogger relative to water = 3.6 m/s - 11.3 m/s = -7.7 m/s

So, the velocity of the jogger relative to the water is -7.7 m/s. The negative sign indicates that the jogger is moving in the opposite direction of the ship's motion.