Waves are coming towards your boat at a speed of 4 m/s, you are standing on the fish scale and notice that the reading on the scale changes up and down such that the lowest scale reading is ½ of the maximum scale reading. If the total vertical distance travelled by the boat as a result of being hit by the waves is 1.9 m, find the distance between two crests.

123 I have no idea

To find the distance between two crests, we can start by understanding some key concepts. In this scenario, the waves are causing the boat to move up and down, resulting in a change in the reading on the fish scale. We are given that the lowest scale reading is half of the maximum scale reading. Now, let's break down the problem step by step:

1. Find the maximum displacement of the boat caused by the waves:
Since the lowest scale reading is half of the maximum scale reading, we can assume that the boat moves equally above and below its average position. Therefore, the maximum displacement would be the sum of the distance above and below the average position, which is 1.9 m.

2. Calculate the average position of the boat:
The average position of the boat is the middle point between the highest and lowest points it reaches due to the waves. So, the average position would be half the distance between the highest and lowest points, which is (1.9 m) / 2 = 0.95 m.

3. Determine the wavelength:
The distance between two crests is equal to the wavelength. In this case, the distance traveled by the boat above and below its average position in one complete wave cycle is the wavelength.

Let's assume the boat completes one full wave cycle from its highest point to its lowest point and back to its highest point. During this cycle, the boat covers a distance of 1.9 m up and down.

However, one complete wave cycle consists of both a crest (highest point) and a trough (lowest point). Since the lowest scale reading is half of the maximum scale reading, the boat covers a distance of (1.9 m) / 2 = 0.95 m from the average position to the highest crest.

Therefore, the distance between two crests (wavelength) would be twice this distance, which is 2 * 0.95 m = 1.9 m.

Hence, the distance between two crests is 1.9 meters.