The distance traveled by a wave in one complete time period is equal to the wavelength (λ) of the wave. In this case, we are given the distance between two consecutive antinodes, which is also equal to half the wavelength (λ/2).
So, if the distance between two consecutive antinodes is 0.5m, then the wavelength of the wave can be calculated as follows:
λ = 2 * (distance between antinodes) = 2 * 0.5m = 1m
Therefore, the wavelength of the wave is 1 meter.
Now, since we are interested in the distance traveled by the wave in half the time period, we need to find half the wavelength.
Half the wavelength (λ/2) = 1m / 2 = 0.5m
Hence, the distance traveled by the wave in half the time period is 0.5 meters.