5

For this exercise, you may disregard air resistance_Abody is thrown vertically upwards at timeThe body passes the same point above its initial position at t-2 $ and...

Question

For this exercise, you may disregard air resistance_Abody is thrown vertically upwards at timeThe body passes the same point above its initial position at t-2 $ and t=8 $.Calculate the initial speed of the body: All choices below have the units of m/s_

For this exercise, you may disregard air resistance_ Abody is thrown vertically upwards at time The body passes the same point above its initial position at t-2 $ and t=8 $. Calculate the initial speed of the body: All choices below have the units of m/s_



Answers

A body is projected horizontally from a height h above ground with an initial velocity of $10 \mathrm{~m} \mathrm{~s}^{-1}$. If the body hits the ground with a velocity of $20 \mathrm{~m} \mathrm{~s}^{-1}$ then the value of $\mathrm{h}$ is $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$ (a) $10 \mathrm{~m}$ (b) $15 \mathrm{~m}$ (c) $30 \mathrm{~m}$ (d) $40 \mathrm{~m}$

All right, so for this problem we're trying to find the maximum height that this ball will travel and were given the initial height and velocity. And so I'm gonna, a scientist goes era at the beginning and then we're gonna it's all for the maximum were also given the acceleration. So you know, the acceleration is constant and it's also um double derivative of the position and r equals negative 9.8. And I'm just gonna leave out units for the sake of making this a little bit cleaner. But they would all work out when solving. Um and then Pfft is the first derivative of position. And since a The derivative of velocity is acceleration, you know, it's gonna be negative 9.8 T. And then since When T. is zero full the velocities 10, then we know it's plus 10. Then we'll solve for the physician again the uh consider of it of physicians velocity. We know it's going to be negative 49 T squared plus 10 T. And then the physicians to when T is here also plus two. Then we want to solve for up here when T. Is I'm gonna say T. Two. We don't and we don't know what the position is, what we know. The velocity is zero. So we can solve for zero equals Our prime of T. two equals negative 98 T two plus 10. So negative 10 over negative 98 Equals two. So T two equal 1.2 seconds. So then we're gonna salt we're going to put that into the physician equation here. So 14.2 equals negative 4.9 times 1.02 Squared Plus 10 times 1.2 plus two. So that'll get us ah About 7.1 meters as the maximum height.

All right, So for this problem we have an object and we know it's starting to meters off the ground um and we're trying to find the initial velocity, we need it to reach A maximum height of 200 m, which means a 200 m the velocity of zero and it would be turning around to come back down and we know the acceleration is negative 9.8 m per second squared, and this is meters per second. So we'll start by writing out the equations. So the acceleration is also the double derivative of the position, So that's negative 2.8. And I'm going to leave out units just to make it a little bit cleaner, but they would all carry through and cancel out if we left them in. So the velocity is the derivative of position. And since the derivative of velocity acceleration, we know it has to be negative 9.8 and we don't know the initial velocity yet. So I'm just gonna say plus V. For now. And then the position we know is again as to the derivative of this has to be velocities that was going to be negative for that should be a teal. So there make that more clear. So negative 4.9 T squared plus VT. And then 20. The position is too so plus two. So then we know that when the physician is 200 the velocity is zero. So we can use that to solve for um this tea. So um so yeah um of T. Two was T. Two equals sarah Which equals -9882. Uh huh.

Well, we're given X relation. A X relation is equal to 9.81 into one minus. Stand to the dollar minus four V square, me, too per second square and the time is five. Well, ex relation is equal to Devi, divided by D T and further detik in the returnees TV divided by Do You Be divided by a Now let's integrate Ah, both sides of the equation Then we have Ah, a nine point 81 time ski is equal to integral off here, you know intended. The limits are problems either to be and we have a DB divided by one minus 10 to the power minus four weeks. Where and further solving this imperial, we have nine point to get one times t is equal to Eleanor 10 to the power minus to B less one divided by two times 10 to the dollar minus two minus Ellen off one minus 10 to the dollar, minus two 10 to the dollar minus to B Divided by do you multiply Bite into the dollar minus two right and under the skin the returnees 9.81 t is equal to 50. Multiply by Ln off Cedar point 01 We bless one divided by one minus 0.1 times we and further we have Ah, nine point nine point 81 divided by 50 times d is equal to Ellen off 0.1 We less one divided by one minus 0.1 times Be so in the exponential form, this is 0.196 to t is equal to zero points. You know, one v less one divided by one minus 0.1 times the now solving for we B is equal to 100 into e to the power 0.196 to T minus one divided by one bliss each of the bomber zero point 196 to t. All right. No, let's, um, insert these equal to five seconds. Then we have go. Two is equal to 100 into a to the dollar 0.196 to multiply by five minus one, divided by he to the power 0.196 to multiply by five, um, minus one. So it's multiplied by, uh, fight and then bless one. So we becomes B is equal to 45.46 meter per second. Well, terminal velocity is, uh, uh d approaches infinity. So we is equal to We have ah V is equal to 100 meters per second, 100 meter or 2nd 20 approaches infinity, then the one minus E to the power of minus 0.196 Ah, do time steal divided by one less E to the power minus zero point 196 to t becomes one. Therefore, we becomes 100 meters per second.

We want to find the velocity off the project after five against in 10 seconds, given the initial velocities 120 m per second. So since assess the position function, this is the ground, so as no initial position would be zero So our position function will be minus 4.9 T square. Vino is 120. So plus 120 t and s no. Zero. So we do not write anything behind. And let's b t the S Frankie, which is the difference station and there is a democracy and this will be minus 4.9 duty last 120. So we have BT is minus 9.8 t 120. So after five seconds, V five will be minus 9.8 times 520 this will be 31 m per second. After 10 seconds, beaten will be minus 9.8 times 10 plus 120 and this will be 22 meters per second. And we are then


Similar Solved Questions

5 answers
Calculate the percentage of water in the following hydrates: Gypsum, CaSO4 2HzOWashing soda, NazCOs IOHzO
Calculate the percentage of water in the following hydrates: Gypsum, CaSO4 2HzO Washing soda, NazCOs IOHzO...
2 answers
1. Find the area of the plane figure bounded by the inequalitiesy2-x2 _ 31; y <-8x 16; y < 16x 162. Find the area of the plane figure defined by the inequalitiesx2 +y2 2 25 x2 +y2 _ 10x < 0. Use polar coordinates.3. Find the area of the plane figure defined by the inequalities:y<v8-x_l,y 2 0,y<4
1. Find the area of the plane figure bounded by the inequalities y2-x2 _ 31; y <-8x 16; y < 16x 16 2. Find the area of the plane figure defined by the inequalities x2 +y2 2 25 x2 +y2 _ 10x < 0. Use polar coordinates. 3. Find the area of the plane figure defined by the inequalities: y<v8-...
5 answers
The volume, V, in a bottle of a sport drink is uniformly distributed between 497 mL and 510 mL (a) Find the mean volume(b) Given the standard deviation; 0 = 3.75 mL, find the probability that the volume is within one standard deviation of the mean_
The volume, V, in a bottle of a sport drink is uniformly distributed between 497 mL and 510 mL (a) Find the mean volume (b) Given the standard deviation; 0 = 3.75 mL, find the probability that the volume is within one standard deviation of the mean_...
5 answers
(3) Find the volumes of the following objects:volume of this shape? simplified general formula for the What isV-?
(3) Find the volumes of the following objects: volume of this shape? simplified general formula for the What is V-?...
5 answers
Two spherica objects with mass Of 9.19 kg each are placed at a distance of 2.10 m apart: How many electrons need to leave each object so that the_net force_between them becomes zero?Submit Answor Tries 0/12
Two spherica objects with mass Of 9.19 kg each are placed at a distance of 2.10 m apart: How many electrons need to leave each object so that the_net force_between them becomes zero? Submit Answor Tries 0/12...
5 answers
Assignment #10 - (Graded)-Win04/07/2024%09 Question (3 points) Whichofthe fallowing compounds could form a hydrogen band with another mo ecule of the same compound?Ist attemptSee PerioChcose more: NII; CCI4 CH;OH CH;OCH; HzCO
Assignment #10 - (Graded)-Win 04/07/20 24% 09 Question (3 points) Whichofthe fallowing compounds could form a hydrogen band with another mo ecule of the same compound? Ist attempt See Perio Chcose more: NII; CCI4 CH;OH CH;OCH; HzCO...
5 answers
QUESTION 26For the reaction A + B + 2 C, which of the following statements is true?0 The rate can be measured by measuring how fast A is produced,B is consumed at the same rate that A is consumedCis produced at the same rate A is consumed.The rate can be measured by measuring how fast € iS consumed
QUESTION 26 For the reaction A + B + 2 C, which of the following statements is true? 0 The rate can be measured by measuring how fast A is produced, B is consumed at the same rate that A is consumed Cis produced at the same rate A is consumed. The rate can be measured by measuring how fast € i...
5 answers
Recall that the gamma pdf is given byya-le-yl 8 if 0 <y < & fly) = Ba r(a) 0 elsewherewhere &, B>0. Assume that Y has gamma distribution with a-4 and 8-3.Find E 4)8 24 1 54
Recall that the gamma pdf is given by ya-le-yl 8 if 0 <y < & fly) = Ba r(a) 0 elsewhere where &, B>0. Assume that Y has gamma distribution with a-4 and 8-3. Find E 4) 8 24 1 54...
5 answers
Unicellular Protista may USE contractile vacuole t0 expel eyGesc water; Contractile vacuoles most likcly would be found in Protista thatout ofSelect one:live in maring (salt water) environment;LOuestionlive in a freshwater environmentare internal parasites 0i animals50Eliminating nitrogenous wastesom reduIresMOSi Wate but the lowest energy expenclturerSelect one"UrC acidqueaiphureaemnonia
unicellular Protista may USE contractile vacuole t0 expel eyGesc water; Contractile vacuoles most likcly would be found in Protista that out of Select one: live in maring (salt water) environment; LOuestion live in a freshwater environment are internal parasites 0i animals 50 Eliminating nitrogenous...
5 answers
Question 2:Convert from polar coordinates to Cartesian coordinates_ Round answers t0 the nearest 0.010 = 438Question 3:Convert from polar coordinates to Cartesian coordinates_ Round answers t0 the nearest 0.012695
Question 2: Convert from polar coordinates to Cartesian coordinates_ Round answers t0 the nearest 0.01 0 = 438 Question 3: Convert from polar coordinates to Cartesian coordinates_ Round answers t0 the nearest 0.01 2695...
5 answers
The peptide belowHgNt CH CH;NH-CH-NH_CH_ NH_CH- NH- CH_ OH CHz CHz CHz CHz Ho CHz CH OH H;c CHz "CH; HN C==NHz NHz needs to be separated from second peptide with a primary sequence ADES.At what pH range would it be possible to separate the peptides?2.013.0-14.02.5 3.54.0 - 9.010.0-12.0
The peptide below HgNt CH CH; NH- CH- NH_CH_ NH_CH- NH- CH_ OH CHz CHz CHz CHz Ho CHz CH OH H;c CHz "CH; HN C==NHz NHz needs to be separated from second peptide with a primary sequence ADES. At what pH range would it be possible to separate the peptides? 2.0 13.0-14.0 2.5 3.5 4.0 - 9.0 10.0-12....
1 answers
Complete each factoring. See Examples 1–7. $$ \begin{aligned} 2 x^{2}+6 x-8 & \\ &=2(-) \\ &=2(-)(-) \end{aligned} $$
Complete each factoring. See Examples 1–7. $$ \begin{aligned} 2 x^{2}+6 x-8 & \\ &=2(-) \\ &=2(-)(-) \end{aligned} $$...
5 answers
Assignment Score06.790ResourcesGive Up?FeedbackTry AgainQuestion ol 15 Calculate either |H,0' | or |On tor euch oIc solutiots A 25 "CArtetnpt >SoluticnFon137 * JuFSoluticon A; [u,o |137 *ioncontectSolution K; [u,o"| 8.85 * |0Sedetiom H lon0.72 to=Solution €; Hu,o"| Q.amSSSMSeluntie C OH0I XOWhich of these solutions are bitsie i 25 "6"Solution I; |u;,0t| 835 Soluticn € [0,0'| 06MM1555 M Solutton A: OH 17 / Wt
Assignment Score 06.790 Resources Give Up? Feedback Try Again Question ol 15 Calculate either |H,0' | or |On tor euch oIc solutiots A 25 "C Artetnpt > Soluticn Fon 137 * JuF Soluticon A; [u,o | 137 *io ncontect Solution K; [u,o"| 8.85 * |0 Sedetiom H lon 0.72 to= Solution €; ...
4 answers
1. A testcross for two genes that are relatively far apart onthe same chromosome would tend to underestimate the true physicaldistance between them because:A. Meiosis II might have been arrested.B. Meiosis I might have been arrested.C. Recombination frequency is always 50%.D. The test cross might not reveal double cross-overs that mightoccur between two such genes.E. Recombination frequency is always less than 50%.
1. A testcross for two genes that are relatively far apart on the same chromosome would tend to underestimate the true physical distance between them because: A. Meiosis II might have been arrested. B. Meiosis I might have been arrested. C. Recombination frequency is always 50%. D. The test cross mi...
5 answers
(c) Draw chemical mechanisms for the reactions below, including structures for the respective products G and H.i) PhLi ii) (CH3)zCO HzotHzCO, MezNH, HOAcH(10 marks)
(c) Draw chemical mechanisms for the reactions below, including structures for the respective products G and H. i) PhLi ii) (CH3)zCO Hzot HzCO, MezNH, HOAc H (10 marks)...
5 answers
5. Find &x for the curve given by cosly?) + 3x = e dx2 _3dx = -3y? sinly ) d = 3 b_ ev+sin(3y2) dx = e"+3y2sinly? ) 3-3y2sin6) d_ d =
5. Find &x for the curve given by cosly?) + 3x = e dx 2 _3 dx = -3y? sinly ) d = 3 b_ ev+sin(3y2) dx = e"+3y2sinly? ) 3-3y2sin6) d_ d =...
5 answers
2 . A company manufactures screws of at most 2 inches in length: For any given screw its length; X= and the prohability that it is longer than 1 inch, Y, are random variables with joint distribution given byG (y? + %) if 0 <€ <2 0 < y < 1; 0_ elsewhere.f(,y)Verify that f (,y) is a proper probability density function_ Find the marginal density function of Y_ fy(y). Find the constant such that P(0.2 < Y < c) 0.5. Find the expected value of X.
2 . A company manufactures screws of at most 2 inches in length: For any given screw its length; X= and the prohability that it is longer than 1 inch, Y, are random variables with joint distribution given by G (y? + %) if 0 <€ <2 0 < y < 1; 0_ elsewhere. f(,y) Verify that f (,y) is...

-- 0.020966--