Final answer:
To determine the amplitude, wavelength, velocity, and period of the given wave, we can analyze the provided graph. The amplitude is 0.4 m, the wavelength is 1.6 m, the velocity is 0.8 m/s, and the period is 2.0 s.
Step-by-step explanation:
To determine the characteristics of the wave, we can use the provided graph.
- The amplitude can be determined as the maximum displacement of the wave from its equilibrium position, which is 0.4 m.
- The wavelength can be found by measuring the distance between two consecutive points with the same value on the graph. In this case, it is approximately 1.6 m.
- The velocity of the wave can be calculated using the formula: velocity = distance / time. The distance traveled by the wave is the wavelength, and the time is 2.0 s - 0.0 s = 2.0 s. Therefore, the velocity is 1.6 m / 2.0 s = 0.8 m/s.
- The period of the wave is the time taken for one complete cycle. It can be calculated using the formula: period = 1 / frequency. Since the velocity is constant, the frequency is determined by the equation velocity = wavelength * frequency. Therefore, the frequency is 0.8 m/s / 1.6 m = 0.5 Hz. Hence, the period is 1 / 0.5 Hz = 2.0 s.