As we examine waves on a water surface we notice that 34 waves pass in 54.4 s. We also notice that the distance between the third wave crest and the ninth wave crest is 22.3 cm. How far will these waves travel in 1.50 min?

To find out how far these waves will travel in 1.50 min, we need to first calculate the distance traveled by one wave in 54.4 seconds. Then, we can use this value to determine the total distance traveled by the waves in 1.50 minutes.

Given:
Number of waves = 34
Time taken = 54.4 seconds
Distance between third and ninth wave crest = 22.3 cm

To calculate the distance traveled by one wave, we divide the distance between the third and ninth wave crest by the number of wave crests in that distance:

Distance traveled by one wave = Distance between third and ninth wave crest / Number of wave crests
= 22.3 cm / (9 - 3)
= 3.72 cm

Now we know that one wave travels a distance of 3.72 cm in 54.4 seconds.

To calculate the total distance traveled in 1.50 minutes, we convert the time from minutes to seconds:

1.50 minutes = 1.50 * 60 = 90 seconds

Now we can calculate the total distance traveled by multiplying the distance traveled by one wave by the number of waves:

Total distance traveled = Distance traveled by one wave * Number of waves
= 3.72 cm * 34
= 126.48 cm

Therefore, these waves will travel a total distance of 126.48 cm in 1.50 minutes.