You are riding in a boat that is traveling 15.0 m/s in still water. You move from the bow to the stern at 3.0 m/s. What is your speed relative to the water?
12 m/s?
To determine your speed relative to the water, you need to consider the addition or subtraction of velocities.
Given that the boat is traveling at 15.0 m/s and you are moving from the bow to the stern at 3.0 m/s, we can add or subtract these velocities depending on the direction.
Since you are moving in the same direction as the boat, the velocities will add up.
The speed relative to the water is calculated by adding the velocities together:
15.0 m/s (boat's speed) + 3.0 m/s (your speed) = 18.0 m/s
Therefore, your speed relative to the water is 18.0 m/s.
To find your speed relative to the water, you need to subtract the speed of the boat in still water from your speed relative to the boat.
1. Start by determining the speed of the boat relative to the water. Since the boat is traveling at a constant speed of 15.0 m/s in still water, this is your speed relative to the water while sitting in the boat.
2. Next, determine your speed relative to the boat. You are moving from the bow to the stern at a speed of 3.0 m/s.
3. Finally, subtract your speed relative to the boat from the speed of the boat relative to the water:
Speed relative to the water = Speed of the boat in still water - Speed relative to the boat
Speed relative to the water = 15.0 m/s - 3.0 m/s
Speed relative to the water = 12.0 m/s
Therefore, your speed relative to the water is 12.0 m/s.