When drawn on a coordinate plane with the X axis as the baseline, a wave with a crest that is closer and the baseline has a smaller
amplitude than a wave with a crest that is farther from the baseline.
Well, well, well, it seems like we've got ourselves a wavy question here! If you have a wave on a coordinate plane with the X axis as the baseline, and the crest is closer to baseline, then you've got yourself a case of "low-tide humor." Just like the tides, when the crest is closer to the baseline, it means the wave has less height or amplitude. So, in other words, it's like a mini-wave trying its best to make a splash but falling a bit short.
To draw a wave on a coordinate plane, follow these steps:
Step 1: Start by drawing a horizontal baseline (X-axis) across the coordinate plane.
Step 2: Determine the position of the crest (the highest point of the wave) on the baseline. If the crest is closer to the baseline, it means the amplitude of the wave is smaller.
Step 3: Choose a value for the amplitude and mark it above the baseline. The amplitude represents half the distance between the crest and the baseline.
Step 4: Decide on the wavelength of the wave, which is the distance between two consecutive crests or troughs. Mark this distance starting from the first crest you drew.
Step 5: Draw the wave by connecting points that represent the wave's shape. Start from the first crest and move downwards until you reach the next trough, and then move upwards to the next crest. Repeat this pattern along the baseline.
Step 6: Continue to draw the wave until you have completed a few cycles.
Remember, the closer the crest is to the baseline, the smaller the amplitude of the wave will be.
To determine the characteristics of a wave when drawn on a coordinate plane, such as the distance between the crest and the baseline, we need to understand the concept of amplitude.
Amplitude is the measure of the maximum displacement or height of a wave from its equilibrium position (the baseline). It represents the strength or intensity of the wave. In the context of your question, a smaller distance between the crest and the baseline implies a smaller amplitude.
To visualize this on a coordinate plane:
1. Draw the X-axis (baseline) horizontally.
2. Choose a starting point on the X-axis to represent the initial position of the wave.
3. From that point, draw a line that represents the wave, either moving above or below the X-axis.
4. The distance between the highest point of the wave (crest) and the X-axis (baseline) represents the amplitude.
- If this distance is small, the crest will be closer to the baseline.
- If the distance is large, the crest will be farther away from the baseline.
In summary, the amplitude determines the size of the wave when it is drawn on a coordinate plane. A smaller amplitude results in a wave with a crest that is closer to the baseline.