solve-the-given-problems-in-studying-water-waves-the-vertical-displacement-y-in-ft-of-a-wave-was-det

Question

Solve the given problems.
In studying water waves, the vertical displacement $y$ (in ft) of a wave was determined to be $y=0.50 \sin 2 t+0.30 \cos t,$ where $t$ is the time (in s). Find the velocity and the acceleration for $t=0.40 \mathrm{s}$.

Linh Vu · Accepted Answer

why should they were even there? A question. Thanks. Go to Thio off the tree and we need to find the value of that. They stand a bone Is scooter drift it above? So it means is that that excellent go Just victory on religion is when you sent them. But the question here and to get the sine equals just going to by three that would be a victory for me. Go, Geo Geo three on And yeah, this one Because we need your own number solutions. Then we need to rest too. And my prospective right. It&#x27;s case here And because our goal is for me to find a tree here tree Why wait? Do so on the surface. I have tea now, right? Yes. Six in. And it&#x27;s a again, huh? To dress six. And that&#x27;s a whole instructions written for you.

Doruk Isik · Answer

this problem. We were given a function motion check and they were giving out. The total notion is about people. And then it takes about 10 seconds for noted thio like work started motion. So listen, I same way for the same way, but look like this, right? One side. This is the period. Okay? Something did. Total woman is 3.5 feet. So from the lowest point to be by supporting this is 3.5 feet and amateur is this whole. So dream appeared This cute boy. Then the amplitude is 1.7, right? And omega is two time over tea or tease, period. And it&#x27;s given that period this 10. So then from this to repent, then we better make up to be fire with fire. So that implies a greater Vega into it a little. So there we want to be, um 1 75 Those are my auntie over Now for part. You were going to look after their girl Prince functions a lifetime will be 1 75 They were a present like uber fire falls five days off. Inter function was inspired fire. And for this we find that there were two to be negative. All three fire Fine. Mikey Over

Keshav Singh · Answer

for this problem on the topic of waves and sound were given the wave equation for a wave traveling along the X axis in terms off X and T where why is measured in meters T is the time in seconds and X is measured in meters as well. We want to calculate the speed off the wave. So we have why is equal to 0.17 times the sign off 8.2 pi t 0.54 pi x Now we know the speed off the way the is related to its wavelength and frequency by the is we go to f times Lambda Any mathematical description off this wave we know it has a form. Why is equal to a the amplitude times the sign off two pi times the frequency times T plus two pi 10 6 over Lambda. So, by comparing the form of the equation by the given wave equation, we confined the speed of the wave as required. Now we know the Dimension Lys two pi f time T term in the equation corresponds to 8.2 pi times t so in order for eight by 8.2 pi t to be dimension list three units off the numerical factor 8.2 must be hurts so we have therefore that two pi times f Times t must equal to eight point two huts multiplied by pi tens t so we can see the pie and T cancels on both sides. And we&#x27;re left when two times the frequency F must equal to 8.2 huts, which means that the frequency F is able to 8.2 divided by two, which is 4.1 huts. And similarly, the dimension this term two pi X by lambda corresponds to 0.54 pi times x So these two correspond and hence we confined Lambda. So we have two pi times x over Lambda must equal to 0.54 and this is in units off per meter times high times x Which means that too over Lambda we see the pi X canceled on each side. Two over Lambda is equal to zero 0.54 Amita, which means then that Lambda is equal to a is equal to two divided by 0.54 which gives us the wavelength Lambda to be 3.7 m. Now we have the frequency of this wave as well as the Wavelength Lambda and therefore we confined the speed of the wave. You know, the speed of the way. The is equal to the frequency of time. William Prevalent Lambda. And this is four 0.1 Hertz. The frequency empty Waveland off 3.7 m. This gives us the speed of the wave to be 15 m the second mhm.

Kevin Harmer · Answer

okay To find the period of our function, we do it just the way we&#x27;ve done all of our signing coastline functions so far, you hear it is equal to pi provided by okay which is equal to two pi divided by pi times 10 which is equal to 20. So our period is gonna be 20 seconds. The period is 20 seconds because our two pies, measured in radiance in our case, resolute and is measured in radiance per second. So two pi so ratings divided by radiance per second. Here, I&#x27;ll write it down is the same as radiance times, second Corinthians jazz. You can see just equal seconds now to find the height of our wave. We look at our amplitude so And as we saw earlier in the chapter, the amplitude is just equal the three. However, the question asks from the bottom of the trough to the tip of the crest. So if our wave piers like this where this is our maximum value, then this is our negative value. Our minimum. Excuse me? Our amplitude is going to be three to get to the maximum and then three to get to the minimum. So the total height between our trough in our crest, it&#x27;s gonna be six

Khoobchandra Agrawal · Answer

Hello, friends. Here it is, given that to where and where is spring are described by for a fraction vibe on is called toe 3.0, cause up 4.0 x minus 1.60 And why do its cult Oh 4.0 Sign up 5.0 at minus 2.0. Entity here X and Y incent imitating they can find the superposition off the Babe White vibe one plus by two. For first part X is called toe one centimeter stage culture one second be part yeah, access called to one centimeters. Please call 2.5 second and see Act is called 2.5 centimeters. He&#x27;s culture. Zero seconds. Let&#x27;s start doing it. Applying the principle of superposition This question is based on principle of superposition resulted or a propagation through the string Would be why one plus by two that is three cause off 4.0 X minus 1.60 less food When Jiro sign up five X minus Coupon. Geraghty. No. We will solve for part eight for party access called toe. One centimeter, please call 21 seconds. Substitute here he calls up foreign toe one minus 1.6 into bird plus four in tow. Signed up five into one, minus 2.0 into one. So on solving it, this value will be minus 1.65 centimeters. Be part access culture. One centimeter on T&#x27;s cult. Oh, find five seconds. So why it&#x27;s called toe three. Cause off. Four Sent him four in tow, one minus 1.6 in tow. 25. Unless four and two sign off. Five into but minus two point to in 2. 20.5 on solving it. It value its value will be minus. See part access culture one centimeter. What it is called zero three cause off four into one, minus 1.6 into Europe. You will get 1.15 centimeters. That&#x27;s all for this problem. Thanks for watching it.

Problem

Solve the given problems. At $30^{\circ} \mathrm{…

Problem 17 Easy Difficulty

Solve the given problems.
In studying water waves, the vertical displacement $y$ (in ft) of a wave was determined to be $y=0.50 \sin 2 t+0.30 \cos t,$ where $t$ is the time (in s). Find the velocity and the acceleration for $t=0.40 \mathrm{s}$.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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Caleb E.

Kristen K.

Joseph L.

Precalculus Review - Intro

Functions on the Real Line - Overview

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Basic Technical Mathematics with Calculus

Grace H.

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Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Grace H.

Caleb E.

Kristen K.

Joseph L.

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus