A person going for a morning jog an the deck of a cruise ship is running toward the bow (front) of the ship at 2.0m/s while the ship is moving ahead at 8.5m/s. What is the velocity of the jogger relative to the water? Later, the jogger is moving toward the stern (rear) of the ship. What is the jogger's velocity relative to the water now?
To find the velocity of the jogger relative to the water in both scenarios, we need to consider the principle of relative motion.
First, let's analyze the jogger's velocity towards the bow of the ship. Since the jogger is running on the deck of a cruise ship, their velocity relative to the ship is given as 2.0 m/s. Additionally, the ship itself is moving ahead at a velocity of 8.5 m/s.
To find the velocity of the jogger relative to the water, we add the individual velocities together. Since both velocities are in the same direction, we simply sum them up:
Velocity of jogger relative to water = Velocity of jogger relative to ship + Velocity of ship
Velocity of jogger relative to water = 2.0 m/s + 8.5 m/s = 10.5 m/s
Therefore, the velocity of the jogger relative to the water when running towards the bow of the ship is 10.5 m/s.
Now, let's consider the second scenario where the jogger is moving towards the stern (rear) of the ship. The jogger's velocity relative to the ship is still 2.0 m/s. However, this time we need to subtract the velocity of the ship since they are moving in opposite directions.
Velocity of jogger relative to water = Velocity of jogger relative to ship - Velocity of ship
Velocity of jogger relative to water = 2.0 m/s - 8.5 m/s = -6.5 m/s
The negative sign indicates that the jogger is moving in the opposite direction to the ship. Therefore, the velocity of the jogger relative to the water when running towards the stern of the ship is -6.5 m/s.