using-your-expression-from-the-preceding-problem-what-is-the-terminal-velocity-hint-examine-the-limi

Name: using your expression from the preceding problem what is the terminal velocity hint examine the limi
Uploaded: 2020-08-03
Duration: 3 min 11 s
Channel: Numerade
Description: Using your expression from the preceding problem, what is the terminal velocity? (Hint: Examine the limiting behavior; does the velocity approach a value?)

Question

Using your expression from the preceding problem, what is the terminal velocity? (Hint: Examine the limiting behavior; does the velocity approach a value?)

Abigail Martyr · Accepted Answer

English brother were asked to find a terminal velocity of a body on month on a new mission initial velocity V subzero with air resistance that is proportional to discover it of the velocity. Now, if you review page 16 dash to factor in the attack, we have this equation Ethical. That&#x27;s a P minus f sub are We&#x27;re This is our net Force s A p is the downward force and accept our is our resistance. This is a resistance came No, We know that the net force is the match times the derivative of velocity the Donald forces last times gravity And here we&#x27;re told that resistance is proportional to the skirt of velocity. So what we have here is the constant key and discourage of ah, velocity be No, the DDT if we divined out my mouth would be equal to G minus Kate or over and times discourtesy How equal equilibrium point would be the terminal velocity. So if we set the sequel to zero so we get that B is equal to Ma times gravity over K square. This will be the terminals and its progress. So we have Let&#x27;s call this miss a pickle Brown V sub Q Me somewhere here and we have will be subzero. Less than are really broom burn you. Then what we see happening is that the body&#x27;s velocity will increase towards our it reappear button. If the subzero is above, they quickly bring point. Then we&#x27;ll see that it drops down towards you being with us. What? It turned me out with us.

Shital Rijal · Answer

So a body regis a body reaches terminal velocity when have up wars. Is he called to have done worse? So that&#x27;s that. Says that the need force, he&#x27;s, you know, right? So since the NATO Forces general so m times exploration is you called zero. So, um, cannot be generous. So acceleration is also general. Right? So this show that the acceleration that is off a body that is that has reached his some liberal city is zero Chris. With this, it&#x27;s the solution to this problem.

Wen Zheng · Answer

So we have the differently question. Um, perhaps read over tea sensical to, um G minus E times way to the party in since Monte poor trees affinity e ve over. Did he a fortress zero In this case? I have I&#x27;m g It&#x27;s Nicole to be house wages apart off end because here this 0.0. So we is he go to empty over, be the power off. Want over.

Amrita Bhasin · Answer

okay. We know the derivative of velocity is acceleration, and they&#x27;re both with respect to time. Therefore, we know that we can write the velocity equation as the Inter Girl negative 0.7 t squared plus 1.44 t plus 10 0.44 times d of t, which is equivalent to have you integrate this negative seven over 30 she cubed plus 0.72 she squared plus 10 point for four t plus c. Now, given the fun of lost easier we substitute equals five and verify the equal zero to find the coefficient. See, so doing that we get zero equals negative. Seven over 30 times five cubed plus 0.72 times five squared 10.44 times five plus C. Sullivan Percy, remember you saying is equal to zero c sulfur senior end of the night of 123 one. Divide by 30. They&#x27;re from of lost Equation is going TV of t equals night of seven over 30. She cubed plus zero 0.72 t squared plus 10.44 t minus 1231 over 30. Okay, now, to find the initial Waske with substitute equal 01 Soviet zero equals negative. Seven over 30 0 cube plus 10.44 times +00 minus +1231 over 30. Which is the sea that we figure out giving us RV of zeros. Negative 41.3 And the units for this is mph miles per hour.

Angela Guo · Answer

for this question again, we&#x27;re using the results from exercise 41. But this time we&#x27;re asked to calculate the escape velocity, which means that Thea object will continue traveling and will not stop. So in that, um, in this case, that means our our is going towards infinity. So what we&#x27;re going to do is we&#x27;re going to calculate Really? Yes. See, for on the escape velocity that is going to be equal to the limit as far goes to infinity of our recreation up there, g e. It&#x27;s so, as you can see, if are is going towards affinity than this term here is going to become zero. So which means this is going to be equal to the square root of two times G kinds, massive earth times, one over the radius of birth and and these three are just constant, which I have written up here. So if you plug this into your calculator, you&#x27;re going to get escape. Velocity is roughly 11,000 190 meters per second

Problem

Using your equation for terminal velocity, solve …

Problem 252 Easy Difficulty

Using your expression from the preceding problem, what is the terminal velocity? (Hint: Examine the limiting behavior; does the velocity approach a value?)

Answer

The velocity becomes $\frac{m g}{k}$ to down at $t \rightarrow \infty$

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The velocity becomes $\frac{m g}{k}$ to down at $t \rightarrow \infty$

Calculus

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