5

A hawk is flying horizontally Southward at an altitude of 152.0 m and at a speed of 2.40 m when he spots a slow-flying finch ahead of his current location and below...

Question

A hawk is flying horizontally Southward at an altitude of 152.0 m and at a speed of 2.40 m when he spots a slow-flying finch ahead of his current location and below his current path: At time zero, the hawk starts a dive by controlling the contact forces on him by the air so as to produce an acceleration of 5.20 m s2 in a direction 69.0 degrees below horizontally Southward for a time of 0.950 seconds.

A hawk is flying horizontally Southward at an altitude of 152.0 m and at a speed of 2.40 m when he spots a slow-flying finch ahead of his current location and below his current path: At time zero, the hawk starts a dive by controlling the contact forces on him by the air so as to produce an acceleration of 5.20 m s2 in a direction 69.0 degrees below horizontally Southward for a time of 0.950 seconds.



Answers

A hawk is flying north at $2.0 \mathrm{m} / \mathrm{s}$ with respect to the ground; 10.0 s later, it is flying south at $5.0 \mathrm{m} / \mathrm{s} .$ What is its average acceleration during this time interval?

First let us find that Jenkin velocity to be re final minus three. Initial ik was the final thus minor v initiated so that this dry pictorially final velocity is six meters per second to the east, six meters per second to the east and initially it was sighing south at eight meters per second. So negative of that would be eight meter per second to the not So this is tell Davey equals square root of six square US eight square equals 10 made it for a second and the angle theta will be given Bari Data equals tam in verse for over three north off east, so acceleration will be Delta V over tell dirty equals 10 major for second divide by two second equals five meter far second square down in verse 4/3 not off east

So the question states that a hot air balloon moves due east at six meters per second relative to the ground. So we'll call the origin here the ground and it's not moving at all. And the hot air balloon is moving to the right or do eased at six meters per second. And we're also told that the person in the hot air balloon sees a hawk moving north straight due north at two meters per second. And our task is to find what the magnitude of the velocity is of the hawk relative to the ground, which is at the origin. So basically, we're trying to find what this vector here is. So to do this, it's actually pretty simple. We no that to find the magnitude of a victor. So, for example, Viktor B. It's just the square root of the horizontal component squared, plus the vertical component squared, and in this case they're both given to us. So the horizontal component is six meters per second and the vertical component is two meters per second. So when we plug this in, we get the square root of 36 plus for which is equal to square root of 40 which is the same thing as six point 3 to 5 meters per second. So this the magnitude of the Wasim of the Hawk relative to the ground. Now we're also asked to find what this angle is, which is the, uh, angled given by, um, the vector capital V from due east. So to find this, we can just take the tannin vers which is going to be opposite over Jason, where in this case, it's two meters per second over six meters per second and this will give us our angle data that we want to find and when we calculate this, we end up getting 18.43 degrees.

In this problem, we start. We'd ah, heart. Those one describing our sample arc has gave radios up 12 meters. We thought that he does go a speed of four meters per second. So the first part of the problem we need to find these centripetal acceleration so he's doing quickly is by using your second law. We equate Candy is integral force. Every square were hard. Toe came time. Cecil aeration passes away. Please find today are key and my escort where are keeps about 1.23 meters per second. So remember, uh, deceleration points towards the centre off the circle of the hawk is describing. So now we're told the next one of the problems that the hard now has a gentle acceleration component which has a value of 1.2 meters per second squared. We could make a drawing vectors here. He's, uh, Barbara Trajectory that the horse describing particle so having a triple incineration. So we just calculated pointing towards the center we have the new within general inspiration point in the same direction after a lot of people are now, we have a total of a new total alteration. Becker. So I find these new total exploration. We just used to beat your anteroom. We used it to operations that we have in the problems we have at the alterations. You square root, uh, triple obliteration squared. Blessed engaged affiliation square. We played the numbers outcomes 1.79 meters per second. Squared finest direction with years off these triangle here. So we will find a jungle used by party digital duration by it alteration to find that that the hook. I hope that hog has its given by these body 48 Greece.

In this situation we have given the coordinates of world flying in xy plane and we have to find the part of the birds between time. T is equal to zero seconds two seconds and velocity. And the acceleration rectors of this bird. So first of all we have given that. Yeah. Yeah right. Ex coordinated you owned by the extreme supposed to al fatty and we have you on the Y coordinate that. It's quite easy. It was to three minutes better. T. Square. Now we have learned the value of alpha area that is 2.4 m per second. And we have beyond the value of data. That is 1.2 m/s square. No first part we are to the sketch we can see that for I am that is physical 20 2nd x is given by dirties zero and Why will come out to be three and for time to use equals to two seconds. The value of acting by will be that is Exit to his witness that is two times of alpha and this will come out to between 2 2.4 that is four eight m. And we can say that why is given by that is three minus This is the time to and this will come out to be minus of 1.8 m. Now I'm going to sketch the graph of the solution so we can say that let this is our Y axis and this is our X axis and let this is the Time physicals to zero and this is that so and this is X equals to zero. We can say our I will be when X is zero the value of Y is three. So why is there tree and access when 4.8 Sorry, when time is too the value is a negative negative minus of 1.8. So the graph will become like this and this is slightly curled so this is our graph for distribution. Now we have to find the acceleration and velocity so we can see that we're nothing director is given by dirties. We were pretty close to X. I get less of my jacket. Sorry disease. Mm We know that velocity actually is given by dirties. Bx upon dating I kept plus divide by DT of Jacob. So this is ALF I get muscle to be trying to teach Jacob. Now put the value of alpine because so this is 2.4 of I kept so This is -4.8 of Jk. Now I'm going to show the diagram. So this is deep, 2.4 I kept in extraction and this is -4.8. So this is in minus direction. So this is the value of 4.8 in J k f. So this is our resultant let this is angle to it or not. So we can see that the magnitude is given by that is And the root of 2.4 square plus minus of 4.80 square and this will comes out will be 5.37 m/s. So this is the value of is speed. And the angle can be found that is 10 to to know what is given by -4.8 upon This is 2.4 and this will comes out to be a teacher, not a year minus of 63.44 degrees. Or I can say this is 3 16 minus 63.44. So this is 2 96.56 degree. So this is the angle, this angle is To 96.56 degree. Now we have to find the acceleration. So we can say that our velocity will be mhm that is 5.37 m/s At angle of 2 96.96 degree. This is the answer for velocity and for exploration we can say that this is the owned by that is a better Isaac was to debut by detail. So this all comes out to be- of two bitter Jk or and this will be minus of 2.4 of Jacob. This is the acceleration. We can clearly see that there is only this is the only Why direction. So this is our exploration. This is in Jacob direction though in the value of 2.4 soil magnitude of exhibition can be found by that is under oath of minus 2.4 Holy square. So this bill comes out to be 2.4 m/s squared. So this is the expiration and this is in downward direction. No, we have to find in the next problem that we have to show that is the body is speeding up or slowing down or it's a speed instantaneous, not changing. So we can clearly say that it is, our expectation is in downward direction. So we can see that it's expiration is in y direction that is downward and velocity component is also in right direction, so bird then it's cleared up. So this is our answer for this part of the problem in this bird will dispute up and it will turn to watch minus by direction. This is actually negative direction, downward direction. So this is I want to answer for this given fusion. Thank you.


Similar Solved Questions

5 answers
4_ Evaluate the integral fo dx. Hint: 1+22 [email protected] complez_integration and OC the residue theorern.
4_ Evaluate the integral fo dx. Hint: 1+22 [email protected] complez_integration and OC the residue theorern....
5 answers
3. Is the set S = {U1 = (1,2,3), U2(1,1,1) , U3(1,0,1)} linearly independent? If not, express one vector of S as a linear combination of the rest.
3. Is the set S = {U1 = (1,2,3), U2 (1,1,1) , U3 (1,0,1)} linearly independent? If not, express one vector of S as a linear combination of the rest....
5 answers
UlguJl . 10 (ibij 3)Solve the IVP. (1 +x2 +y2 + x2y2 )dy Y dx, y() = 1y tan VX mN+ = taln U1ycot/ Ht7Cos]Hlelo|1HeLmEHz
UlguJl . 10 (ibij 3) Solve the IVP. (1 +x2 +y2 + x2y2 )dy Y dx, y() = 1 y tan VX mN + = taln U 1 ycot/ Ht 7 Cos ] Hlelo| 1 HeLmE Hz...
5 answers
Question 7Use sum-to-product identity to find the exact value of the expression:cos1950 cos750SHOW ALL WORK!Edit View Insert Formal Tools Table12ptParagraph0 worlt
Question 7 Use sum-to-product identity to find the exact value of the expression: cos1950 cos750 SHOW ALL WORK! Edit View Insert Formal Tools Table 12pt Paragraph 0 worlt...
5 answers
Fill in the name and empirical formula %f each ionic compound that could be formed from the ions in this table: Some Ionlc compounds cation anion DO emplrical formula name of compound so;so}NO,
Fill in the name and empirical formula %f each ionic compound that could be formed from the ions in this table: Some Ionlc compounds cation anion DO emplrical formula name of compound so; so} NO,...
1 answers
A block moving on a horizontal surface is at $x=0$ when earth's surface. At $1.15 \mathrm{~s}$ after liftoff, the rocket clears the top of its launch platform, $63 \mathrm{~m}$ above the $\mathrm{ground.}$ After an additional $4.75 \mathrm{~s},$ it is $1.00 \mathrm{~km}$ above the ground. Calculate the magnitude of the average velocity of the rocket for (a) the 4.75 s part of its flight and (b) the first $5.90 \mathrm{~s}$ of its flight.
A block moving on a horizontal surface is at $x=0$ when earth's surface. At $1.15 \mathrm{~s}$ after liftoff, the rocket clears the top of its launch platform, $63 \mathrm{~m}$ above the $\mathrm{ground.}$ After an additional $4.75 \mathrm{~s},$ it is $1.00 \mathrm{~km}$ above the ground. Calcu...
5 answers
Sopoiquue axII-ulllpIuad pue Ulllpuad 4IIM palean aq ueJ Suop1ajul [eqJaneq annisod-WejsIlem I/a) J/341J0 Jed se auejqwau Jaino ue a^e4 eijapeq a^pe?au-Wejs saiiaue?io aaey Jjaju Siijj ieuuapegIlaj 341 Jo SiuaJuo) 341 01 sjajaj useidow)uonnios [uoxodky 01 pajedlo) sainios uopejiujjuO) Jajeaj? sey uoninios Juouadfy-Zanumnou sluawaje1s Buimoiio} 341j0 4jiymOE Noilsjno
sopoiquue axII-ulllpIuad pue Ulllpuad 4IIM palean aq ueJ Suop1ajul [eqJaneq annisod-Wejs Ilem I/a) J/341J0 Jed se auejqwau Jaino ue a^e4 eijapeq a^pe?au-Wejs saiiaue?io aaey Jjaju Siijj ieuuapeg Ilaj 341 Jo SiuaJuo) 341 01 sjajaj useidow) uonnios [uoxodky 01 pajedlo) sainios uopejiujjuO) Jajeaj? sey...
5 answers
For the following exercises, solve for the variable.$$2(11 c-4)=36$$
For the following exercises, solve for the variable. $$2(11 c-4)=36$$...
1 answers
Give an explanation for your answer. The $100^{\text {th }}$ derivative of $\sinh x$ is $\cosh x$
Give an explanation for your answer. The $100^{\text {th }}$ derivative of $\sinh x$ is $\cosh x$...
5 answers
#ls es0mL & drnanlrad Warty to 13s0mLo,IOOMMO shton mtr e U' mound O0m &uind slintt}0401AotJ
#ls es0mL & drnanlrad Warty to 13s0mLo,IOOMMO shton mtr e U' mound O0m &uind slintt} 0401 Aot J...
5 answers
Part CFind the mass of the body- Express your answer with the appropriate units_
Part C Find the mass of the body- Express your answer with the appropriate units_...
5 answers
Scores for amateurs on an 18-hole golf course are normally distributed with a mean of 90 and a standard deviation of 15. Find the golf course score associated with the second decileRound the final answer to zero decimal places.
Scores for amateurs on an 18-hole golf course are normally distributed with a mean of 90 and a standard deviation of 15. Find the golf course score associated with the second decile Round the final answer to zero decimal places....
5 answers
This Question:of 5 (0 complete)Give geometric description of Span {V,,V,} for the vectors V,andChoose the correct answer below:Span {V,,Vz} is the set of points on the line through and Span {V,,V,} is R?. Span {V,,Vp} cannot be dotermined wilh Ihe given information. Span {V,,Vp} is the plane in R? that contains V4, Vz, ardClick to select your answer:
This Question: of 5 (0 complete) Give geometric description of Span {V,,V,} for the vectors V, and Choose the correct answer below: Span {V,,Vz} is the set of points on the line through and Span {V,,V,} is R?. Span {V,,Vp} cannot be dotermined wilh Ihe given information. Span {V,,Vp} is the plane in...
5 answers
Find the average 'of; and $ G !a#6
Find the average 'of; and $ G !a #6...
4 answers
Data: 10, 10, 10, 19, 26, 29, 35, 35, 35, 35, 35,45, 46, 48, 50, 56, 65, 66, 66, 67, 76, 76, 76What are the first three lines in the frequencydistribution table AND what is the total?
Data: 10, 10, 10, 19, 26, 29, 35, 35, 35, 35, 35, 45, 46, 48, 50, 56, 65, 66, 66, 67, 76, 76, 76 What are the first three lines in the frequency distribution table AND what is the total?...
5 answers
Points) In YOur Opinion; is it better to choose the $40.000 per year O the lump Sumn of 81.O0O.000? Why?
points) In YOur Opinion; is it better to choose the $40.000 per year O the lump Sumn of 81.O0O.000? Why?...
5 answers
Light from an LED with wavelenath 10 * 102 nm Incident on (ano perpendicular to) Mm bctwcun tnc fimst &ne secono daric fringes che intenerencu Datternslits separated330 MMInterference patternfomedscreenrom the slitsdistance (in
Light from an LED with wavelenath 10 * 102 nm Incident on (ano perpendicular to) Mm bctwcun tnc fimst &ne secono daric fringes che intenerencu Dattern slits separated 330 MM Interference pattern fomed screen rom the slits distance (in...

-- 0.023494--