a-certain-chevrolet-corvette-goes-from-0-mih-to-600-mathrmmi-mathrmh-880-mathrmft-mathrms-in-360-mat

Name: a certain chevrolet corvette goes from 0 mih to 600 mathrmmi mathrmh 880 mathrmft mathrms in 360 mat
Uploaded: 2021-06-08
Duration: 3 min 16 s
Channel: Numerade
Description: A certain Chevrolet Corvette goes from 0 mi/h to $60.0 \mathrm{mi} / \mathrm{h}$ $(88.0 \mathrm{ft} / \mathrm{s})$ in $3.60 \mathrm{s}$. Assuming constant acceleration, how far (in $\mathrm{ft}$ ) does it travel in this time?

Question

A certain Chevrolet Corvette goes from 0 mi/h to $60.0 \mathrm{mi} / \mathrm{h}$ $(88.0 \mathrm{ft} / \mathrm{s})$ in $3.60 \mathrm{s}$. Assuming constant acceleration, how far (in $\mathrm{ft}$ ) does it travel in this time?

Kian Manafi · Accepted Answer

So we&#x27;re told that this car goes from 0 to 88 ft per 2nd and 3.6 seconds. We&#x27;re also told that it has constant acceleration. So if it goes from 0 to 88 ft per second in 3.6 seconds, that our initial velocity v 00 And so our equation for velocity was again V. Zero plus our acceleration times T. So we can plug in zero for V. Zero. So we just have our acceleration times T. And we&#x27;re also told that this is a constant acceleration. So A is just gonna be a constant. So you can plug in the 00.3 point six comma 88 to find our acceleration. Since we&#x27;re told that we&#x27;re going 88 miles per sorry feet per second after 3.6 seconds. So you have 88 it&#x27;s equal to a times 36. So then a is equal to 88, Divided by 3.6. and so if you plug this into a calculator, 88, divided by 3.6 is equal to 24 0.4 for repeating. And this is in feet per second squared. So now we know our velocity equation. V. is just going to be equal to 24 .44 repeating times, teeth. And so if we want to figure out how far this um car travels in the time that it was going from 0 to 88 ft per second, we&#x27;re gonna have to find the displacement equation which is just the integral of our velocity equation. So we&#x27;re going to take the integral of our velocity equation which is equal to the integral 24 44 repeating times. T times DT Just then just equal to 24-44 repeating Times, T. divided by two. And then we also have plus C. But since our initial displacement is going to be zero, when we plug in zero for um T. We&#x27;re just gonna get sees equal to zero so we can let C. Equals zero in this case. So we have our displacement equation S. F. T. It&#x27;s equal to 24.44 repeating times, T squared divided by two. And now we just need to plug in 3.6 40 to figure out how far our car our car actually traveled in feet. Um In the time I went from 0 to 88 ft/s. So let&#x27;s plug in 3.6 24.44 repeating times 3.6 squared, divided by two. So if you plug this into a calculator 24.444 Repeating Times 3 6 squared. It&#x27;s equal to about 316 8. And then if we divide by two We get this is equal to 158 0.4 ft. So it took this car 100 and 58.4 ft, to go from zero MPH to 60 MPH, or to go from zero ft per second to 88 ft per second.

Sheh Lit Chang · Answer

When this question, um you are asked to find the average acceleration after carpet carpet acceleration. So the formula for average accelerations that have, you know, 13. So the change in velocity of 60 MPH because that&#x27;s from rest and 60 MPH, and it takes 4.8 seconds to do so. And if you calculate using your calculator, you get sharp 0.5. Mom&#x27;s got our for a second.

Jincy M Saji · Answer

in this case we have for an inclined plane plane. We have some off f off. Why equals shoot en dash minus mg Science data on Sigma F off X equals shoot s K dash minus MD cost Rita So in this we know that four physical through M A, which is also equals two you into m g Therefore can write musicals too a upon g So here we know that final velocity physicals to zero on the initial velocity. You are taking it as you 60 MPH. So when we can put this in the meter per second, this will be equal. Shoot 26 26.9 meter per second. So we have the creations of motion You&#x27;re going to use V square minus you Square equals you to a s. Where s is the distance? So in this we can have the square is sickles to you Square last two a s. Okay, so in this we understand that we have already seen that V equals to zero and you is equals to 26.9 the deposit. So putting that value in that we get on We know that s is how much we have s s 1 23 ft 1 23 ft. When we convert it into meters, it will be 37.5 m. So we have all these value with us. So putting all these value in the question you&#x27;re going to get zero square, it will soon 26.9 the whole square plus two into a into 37.5. So, according to that, you&#x27;re going to get the value off A s minus 9.65 meter per second squared. So this is the value off acceleration that no, they&#x27;re about we had the equation. New musical soup A upon Gee, yeah, now that is equals to 0.98 So we know that the some off the forces, some of all the forces, is he goes through a me No. Forces are confident of gravity down the plane. Okay, That is what we have already in that f y equals two. And if f X Also we had used in the values? Yes, for if why we&#x27;re return. Us mg sign theater and effects as MG Pastika. So these are the things that were already from this the second law off motion. You didn&#x27;t. Second law tell that M G Same pita minus mu M G. Boston. Yeah, Physicals to m A. So here, in this case, you&#x27;re going to get A S 9.8. Did you sign? 10 degrees minus 0.98 course. 10 degrees. It just equals two minus seven. Yes, minus seven point 756 m per second squared. So this is the case. This is the value in this case. Now, Now we again have the value off we square minus you square equals to two A s. We know vehicles to zero, but we have a value on Do we have the value for a as this nowt off solve for deep or sol for the distance. So we are going to put the value in this situation. So when you put that, we&#x27;ll get zero equals two, 26.9 the whole square minus two into 7.756 into as equal suit. Okay, sorry it was too. Won&#x27;t come there. Okay, s so from here, we&#x27;re going to get the value office after calculation to be 46.648 So this is the required distance that we are always distance will be in meters

Zulfiqar Ali · Answer

Let&#x27;s find out time using musical to we not less X elation times T um Sylvia 120 kilometer are and be known to get 70 kilometre bar are jobless acceleration. Relax. Relation is six housing kilometer where R squared times D and solving 40 t is equal to one divided by 120 our which is equal to 32nd. Let&#x27;s find a distance traveled using s is equal to a snot. Let&#x27;s be not times de lis. How 50 square off 80 Um, A. Sees the exploration of car Times T&#x27;s were no, that&#x27;s like in numbers. So a distance is equal to 70 uh, kilometer, but are into one divided by 120 hard are less, one divided by two into x elation of God. It is a 6000 kilometer bar are square, are in duty square will t swear. He&#x27;s one divided by 120 holes where so t is equal to 0.79 kilometer

Averell Hause · Answer

so here. By definition, we confined the acceleration. This would be equal to the change in velocity divided by the change in time. Ah, this would be equal to 21 meters per second, minus 12 meters per second, divided by the time it took to reach 21 muse per second from 12 meters per second. So this will be 6.0 seconds and this is equaling one 0.5 meters per second squared. Now. If it&#x27;s asking for the total time, the rather the total distance traveled within sex sex six seconds. We can say howto act equals v X initial times t plus 1/2 times a T squared and we can solve by substituting directly. So the ah, the ex initial would be equal to 12 meters per second, multiplied by again 6.0 seconds plus 1/2 times 1.5 meters per second squared multiplied by 6.0 seconds. Quantity squared and Delta X is found to be equal to 99 meters. So this would be our total distance rather than total displacement and our acceleration. That is the end of the solution. Thank you for watching

Surjit Tewari · Answer

question number 90. The initial lost is you equal to zero by never velocity be is required to 18 meter parts again. That time is a equal to well said guns no find their displacement. Using the second equation of motion be is equal to UT less, uh, into acceleration into b squared This candidate and as D is equal to acceleration, is the rate of change of velocity. So we can die ex election as we by the into the square. This will give us their displacement as be equal to, uh, in gov day, substituting the values, the quick how in the it dean, In the well solving this, we will get the displacement as one Tzeitel it meet us.

Problem

The engine of a lunar lander is cut off when the …

Problem 13 Easy Difficulty

A certain Chevrolet Corvette goes from 0 mi/h to $60.0 \mathrm{mi} / \mathrm{h}$ $(88.0 \mathrm{ft} / \mathrm{s})$ in $3.60 \mathrm{s}$. Assuming constant acceleration, how far (in $\mathrm{ft}$ ) does it travel in this time?

Answer

$158 \mathrm{ft}$

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$158 \mathrm{ft}$

Basic Technical Mathematics with Calculus

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Integration Review - Intro

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

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