A parachute passing through the lake created a wave that reached the shore in one minute.

A parachute passing through the lake created a wave that reached the shore in one minute. The distance between adjacent wave crests is 1.5 m, and the time between successive shocks on the shore is 2 s. What is the distance from shore to a passing steamer?

t = 1 min = 60 s.

λ = 1.5 m.

T = 2 s.

S -?

Since the wave along the lake is mechanical, then to find the distance from the steamer to the shore, it is necessary to multiply the wave propagation speed V by the time of its propagation t: S = V * t.

The speed of propagation of the wave V is expressed by the formula: V = λ / T, where λ is the wavelength, T is the period of the wave.

The distance between two adjacent crests is the wavelength λ, and the time between two successive impacts is the period of the T wave.

S = λ * t / T.

S = 1.5 m * 60 s / 2 s = 45 m.

Answer: from the steamer to the coast, the distance is S = 45 m.