Final answer:
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.