When waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Green's law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location of water depth d, then the new height h of the wave is given by h = HR 0.25, where R is the water depth ratio given by R = D/d. (Round your answers to two decimal places.) (a) Calculate the height of a tsunami wave in water 20 feet deep if its height is 3 feet at its point of origin in water 15,000 feet deep. ______ ft (b) If water depth decreases by a third, the depth ratio R is increased by 1.5. How is the height of the tsunami wave affected? The new height of a tsunami wave is _____times the height before R is increased by 1.5.

Q: A car completes a 300 km trip. At the start of the trip the car had 65 litres in its tank, and at…

A: Solution:Given: A car completes a  tripInitially, it has  in its tank and at the end it has we have…

Q: A particle that moves along a straight line has a velocity V(t) = t e meters per second after t…

A:

Q: What is the slope of the tangent line of y = 3x- 2x2 + 2x -5 at x = 0? A. 2 B. -5 C. D.

A: Given equation of the curve is y=3x3-2x2+2x-5   x=0 find slope of the tangent

Q: Question 1 57 cans of soda 27 people Simplify the rate of cans of soda compared to people cans of…

A:

Q: The following table gives the diameter d and height h, both in feet, of some "champion" trees…

A: a) Find a formula that models h as a power function of d. Approach:

Q: appendix (8) ASK YOUR TEACHER   The speed of sound in air on a certain stormy day is about…

A: Sound in 1-second covers = 1130 feet in 5 seconds cover= (1130x5)= 5650 feet

Q: At the 2015 NFL combine, Byron Jones set a new record in the standing long jump. During his record…

A: Find your answer below

Q: Question 18 Total Y 33 74 65 A 22 41 40 82 62 Total What is P (C or X)? Round to 4 decimal places.

A: X Y Z TOTAL A 33 74 65 172 B 22 41 40 103 C 82 62 7 151 TOTAL 137 177 112 426

Q: You are given o ag dt = 100. Calculate ām. %3D

A:

Q: Classify the following variable as a qualitative or quantitative. Letter grade of an exam. O…

A: Qualitative variables: Qualitative variables measures of types and may be represented by a name,…

Q: The table represents the speed of Frog A at a frog-jumping contest. Frog B travels 2 feet each…

A:

Q: Question 1a. A radar gun was used to record the speed of a runner during the first 5 seconds of a…

A: Simpsons rule- ⇒∫abfxdx≈∆x3fx0+4fx1+2fx2+4fx3+.......+2fxn-2+4fxn-1+fxn

Q: Classify the following variable as a qualitative or quantitative. Student ID#

A: Any information that can be measured, counted, or quantified and assigned a numerical value is…

Q: Newton's Law of cooling, which also can be applied to heating problems, states that "the time rate e…

A:

Q: Find energy in kJ of a photon. 2=488 nm. The speed of light is 3.00 x 108 m/s and h = 6.63 x 10-34 J…

A: Energy

Q: Kindly show your complete solution. Thank you.

A: Given: Values of the earth's density: no x 1 5.39 2 5.26 3 5.55 4 5.68 5 5.53 6 5.57…

Q: A mixing blade on a food processor extends out 2 inches from its center. If the blade is turning at…

A: This question can be solved using the concept of trigonometry.

Q: i want solve

A: Range: The range is found by subtracting the smallest data value from the largest data value. Here,…

Q: The data collected in a research study well either support or refute the -that the study is designed…

A:

Q: 1. Find feit dt.

A:

Q: QUESTION 4 A horse runs with velocity 15 km/h for 0.05 hours (hrs), 20 km/h for the next 0.1 hours,…

A:

Q: (Question 11) It is night. The lamp in the dog park is 20 ft tall. A sweet dog is running from the…

A: The triangle is shown below. Here, H is the height of the lamp, h is the height of the dog., x is…

Q: 5. What values of p result in predictions that the helicopter will land in a finite amount of time…

A: Note: 1xp, p>0 approaches to ∞ as x approaches to 0. To solve the differential equation…

Q: Questlon 2 of 10 Use your calculator to evaluate e3. Round your answer to three decimal places. O A.…

A: Please refer the attached image for complete solution.

Q: Define the following: Heaviside step function Unit Step Function      The Dirac Delta Function…

A:

Q: The following table of values gives a company's annual profits in millions of dollars. Rescale the…

A:

Q: Ferris Wheel For the Ferris wheel described ifind the height of the rider,h, in terms of the time,…

A: We have the following Ferris wheel with diameter of 165 feet r=82.5

Q: dP The rate of pressure increase that a particular diver feels as they desend is given by = 3y2 +…

A: dPdy=3y2+12y+7⇒dP=3y2+12y+7 dy Now integrating on both sides, we get ∫dP=∫3y2+12y+7…

Q: Evaluate the value of the Г(15/4) (b) r(3/4)

A: Here we have to evaluate the value of given expression.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.