Question

URGENT!!! 50 POINTS NO CHATGPT!

A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water It takes a time of 3.00 s for the boat to travel from its highest point to its lowest, a total distance of 0.650 m
mThe fisherman sees that the wave crests are spaced a horizontal distance of 5.90 m apart


Part A
How fast are the waves traveling?
Express the speed v in meters per second using three significant figures.

What is the amplitude A of each wave?
Express your answer in meters using three significant figures.

Answer 1

Part A:
`1.97ms^(-1)` (2 s.f.)
Part B: 0.33m (2 s.f.)

Step-by-step explanation:

Part A:

Frequency =
`(1)/(period) = (1)/(3)` Hz

Wavespeed = frequency x wavelength
Wavelength = distance between two crests = 5.90

Freq = 1/3 Hz

Therefore: Wavespeed = 1/3 x 5.90

Wavespeed = 1.967 ms^-1

Part B:
Amplitude =
`(peak-to-peak- amplitude )/(2)`

Peak to peak amplitude = 0.65m

Amplitude = 0.65/2 = 0.325m = 0.33m 2sf