Under certain conditions, tsunami waves encountering land will develop into bores. A bore is a surge of water much like what would be expected if a dam failed suddenly and emptied a reservoir into a river bed. In the case of a bore traveling from the ocean into a dry river bed, one research study shows that the velocity V of the tip of the bore is proportional to the square root of its height H. The power function formula is given below, where k is a constant. VKH0.5 (a) A bore travels up a dry river bed. By how much does the wave velocity change when its height is reduced to a third of its initial height? The velocity changes by a factor of (b) By how much does the bore height change when the velocity of the tip is reduced to a quarter of its initial velocity? The height is reduced to of the initial height. (c) If the tip of one bore surging up a dry river bed is two times the height another, how do their velocities compare? The velocity of the first is times that of the other.

Under certain conditions, tsunami waves encountering land will develop into bores. A bore is a surge of water much like what would be expected if a dam failed suddenly and emptied a reservoir into a river bed. In the case of a bore traveling from the ocean into a dry river bed, one research study shows that the velocity V of the tip of the bore is proportional to the square root of its height H. The power function formula is given below, where k is a constant. VKH0.5 (a) A bore travels up a dry river bed. By how much does the wave velocity change when its height is reduced to a third of its initial height? The velocity changes by a factor of (b) By how much does the bore height change when the velocity of the tip is reduced to a quarter of its initial velocity? The height is reduced to of the initial height. (c) If the tip of one bore surging up a dry river bed is two times the height another, how do their velocities compare? The velocity of the first is times that of the other.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...

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