What is Initial: Definition and 1000 Discussions

In a written or published work, an initial or drop cap is a letter at the beginning of a word, a chapter, or a paragraph that is larger than the rest of the text. The word is derived from the Latin initialis, which means standing at the beginning. An initial is often several lines in height and in older boscene are known as "inhabited" initials. Certain important initials, such as the Beatus initial or "B" of Beatus vir... at the opening of Psalm 1 at the start of a vulgate Latin. These specific initials, in an illuminated manuscript, were also called initiumsIn the present, the word initial commonly refers to the first letter of any word or name, the latter normally capitalized in English usage and is generally that of a first given name or a middle one or ones.

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  1. T

    How to find initial velocity given distance and angle

    Homework Statement A projectile is fired with initial velocity Vo at an angle of 20° with the horizontal. Determine the required value of Vo if the projectile is to hit point b. point b is 3 km away. Homework Equations y=(Vy)o t + 1/2 a t^2 The Attempt at a Solution i tried...
  2. B

    Finding time and initial velocity of a vertically displaced launch

    Homework Statement A projectile is launched 0.635 m above the ground at an angle of 72.2°. It lands on the ground 1.64 m away Homework Equations The Attempt at a Solution Ive tried so many different equations and have looked up different ways, but I just don't know what I'm...
  3. P

    How to figure the initial guess to optimize

    I have the following problem to code using python: I have 7 parameters: x,y,z,t, HF, M1F, and M2F. The user should input any of these 3 and the program should calculate the rest. The relations that I have are: HF = -xyt M1F = -2xzt + 4yzt - xyt + 4tz^2 M2F = 2yzt - xyt 1 = -2xt...
  4. G

    Initial Velocity before impact

    HI gurus I have found helped on this forum, that I am trying again. I would like to know the steps I should follow in other to find the following I would like to find out how fast a car was going before impact, if after a T collision one of the car steer right and stop at 8 Meters...
  5. V

    Initial Velocity - Projectile Motion

    Hello, My end goal is to calculate the vertical and horizontal displacement of an object that explodes in the air e.g. a firework. However, I am having difficulty deriving the initial velocity of the object. I know the approximate time is 5.0 seconds from the ground to explosion and the...
  6. A

    Why Is the Initial Speed of a Ball Thrown Vertically 19 m/s?

    A ball thrown vertically from ground level is caught 3.0 s later by a person on a balcony who is 14 m above the ground, determine the initial speed of the ball. When I first tried doing this problem, I tried using the speed equation of distance/change in time, so I divided 14 by 3 which gave...
  7. F

    Solving Initial Value ODE: x^2y''+xy'+y=0

    Homework Statement Solve the initial value problem: x^{2}{y}'' + x{y}' + y = 0, x>0, y(1)=1, {y}'=2 Homework Equations y=x^m The Attempt at a Solution x^{2}(m(m-1)x^{m-2})+xmx^{m-1} + x^{m} x^{2}(m(m-1)x^{m-2})+xmx^{m-1} + x^{m} x^{m}(m(m-1) + m + 1)...
  8. R

    Exponential least-squares fitting and initial parameters

    Dear All, I would like to do an exponential function least-squares fitting, but having two or more exponents. For example the function looks like this: y (x) = A \exp (-x/a) + B \exp (-x/b) where A, a, B and b are the least-squares fitted parameters. My question is how to obtain the...
  9. C

    Find the initial speed of jump using range and max height

    Homework Statement A dog jumps a distance, L, and a maximum height, H, where the dog only has horizontal velocity when it travels through the hoop. What is the speed of your dog when he leaves the ground? What is the speed of your dog when he goes through the loop? Both answers should NOT...
  10. S

    Initial Value Linear system of DQ's

    Homework Statement The unique solution of the linear system of differential equations ##\frac{dv}{dt}=-34v+ -16w, v(0)=-1## ##\frac{dw}{dt}=80v+ 38w, w(0)=-3## is: (enter the smaller of the eigenvalues first, and note that all entries here are integers) ##v(t)= C_1 e^{-2t}+C_2 e^{6t}##...
  11. B

    Initial and final value theorems

    Homework Statement Find f(t) for the function F(s)=(10s^2+85s+95)/(s^2+6s+5) and apply the initial and final value theorems to each transform pair Homework Equations Initial value theorem: f(0)=lim s->∞ s(F(s)) Final value theorem: f(∞) = lim s->0 s(F(s)) The Attempt at a Solution...
  12. K

    Initial condition for Schrödinger equation

    (If the equation below do not appear correctly, you can read all of the question in the attached file.) Solving the time dependent 1D Schrödinger equation, one can show that in all points (x,t), i\bar{h}\frac{\partial}{\partial t}\Psi(x,t)=-\frac{\bar{h}^2}{2m}\frac{\partial^2}{\partial...
  13. B

    Finding time given constant acceleration, initial velocity, & distance

    Homework Statement I want to cover a distance of 8,ooo,ooo,ooo,ooo m and I want to know the time it will take if I have an initial velocity of 176400 m/ sec with an acceleration of 19.6 m/sec2. I think I have the right equation here I'm just not sure how to solve for t. Could someone walk me...
  14. L

    Simple initial conditions problem

    Homework Statement http://imgur.com/Mwin7dB http://imgur.com/Mwin7dB Homework Equations The Attempt at a Solution This is a fairly simple problem. My issue is that I can't identify the second initial condition. The first one is simple. At t=0, the voltage on the capacitor is...
  15. I

    Solving 2nd Order Differential Equation with Initial Conditions

    Mod note: Reinstated problem after poster deleted it. Homework Statement Just wondering if I did this correctly: ##y''+4y'+4y=e^{x}## and initial conditions ##y(0)=0; y'(0)=1## Homework Equations The Attempt at a Solution So I found the characteristic equation to be...
  16. M

    Dynamic system - initial displacement

    Please see attached for question. My problem is the initial displacement. i am told the first step is this kx + c(dx/dt) = unit impulse laplace transform kX + c(sX-x0)=1 from that i can see the initial displacement is included in the damper but why isn't it included in the...
  17. E

    Second order DE problem with initial condition rather than 0

    Homework Statement Solve the following DE y'' + 8y' − 9y = 0, y(1) = 1, y'(1) = 0 Homework Equations Homogenous DE with constant coefficients The Attempt at a Solution Well, i solved it normally using a CE and having yH= c1 e^t + c2 e^(-9t) .. y' = c1 e^t -9 c2 e^(-9t)...
  18. H

    Bullet hitting a wood block in a vise. Find initial velocity?

    Homework Statement A 7.00 g bullet, when fired from a gun into a 1.10 kg block of wood held in a vise, penetrates the block to a depth of 6.40 cm. This block of wood is next placed on a frictionless horizontal surface, and a second 7.00 g bullet is fired from the gun into the block. To what...
  19. J

    MHB Integrating factor, initial value problem

    $ kxy \frac{dy}{dx} = y^2 - x^2 \quad , \quad y(1) = 0 $ My professor suggests substituting P in for y^2, such that: $ P = y^2 dP = 2y dy $ I am proceeding with an integrating factor method, but unable to use it to separate the variables, may be coming up with the wrong integrating factor ( x )
  20. T

    Simple Projectile Motion Problem. Unknown initial speed.

    A ball is thrown at an unknown speed at an angle of 30 degrees. The initial and final height from the ground is 0 meters. What speed should the ball be launched at in order for it to land on the ground 3 meters from the launch point? Here is what I tried...
  21. R

    Calculating Initial Acceleration for a Steel Object on a Rail | 21 N Tension

    Homework Statement I need to find the initial acceleration of a steel object that weighs .89 kg, that is pulled along a steel a rail by a cord. The cord is at an 45 degree angle and has a tension of 21 N. The friction coefficents(spelled right?) of steel on steel are: .8 for static friction...
  22. F

    MHB Initial value problem for exact equations

    I've got a few small questions I'd like to straighten out. I'm really trying to establish a firm procedure involving the steps I write down because I find it helps me learn the math and avoid errors. Solve the initial value problem: (x+y)^2 dx +(2xy+x^2-1)dy = 0 with y(1)=1 So let M(x, y)...
  23. J

    Integrating Initial Condition Problems: Finding the Constant of Integration

    Homework Statement They give me y ' = (xysinx)/ (y+1) , y(0) = 1 Homework Equations So I just separated and integrated The Attempt at a Solution I'm 99 percent sure I'm OK up till here. I just wanted to get an explanation for something. I was wondering my answer is y + ln(y)...
  24. O

    Damped oscillator given odd initial conditions

    Homework Statement (A) The damped oscillator is described by the equation mx''+bx'+kx=0. What is the condition for critical damping expressed in terms of m,b,k. Assume this is satisfied. (B) For t<0 the mass is at rest (x=0). This mass is set in motion at t=0 by a sharp impulsive force so...
  25. F

    MHB Initial value problem with lots of constants

    L \frac{di}{dt}+Ri=E and we're given i(0)=i_o I,R,E,i_o are constants. So I rewrite equation as \frac{di}{dt}+\frac{R}{L}i=\frac{E}{L} therefore P(i)=\frac{R}{L} let \mu(x)=e^{\int \frac{R}{L}dt}=e^{\frac{tr}{L}+C} multiply equation by integrating factor to get e^{\frac{tR}{L}}...
  26. H

    Initial velocity given distance, height, theta. Projectile motion

    Homework Statement A baseball is thrown just so that it is able to pass a wall 10m high at a distance that is 1000m away. If it is aimed 30 degrees above the horizontal, what is the initial speed of the baseball? Homework Equations relevant equations shown at the attempt at the solution...
  27. T

    Vehicle Instantaneous Torque in initial motion

    Hi, I'm designing a propulsion system for an electric car as a part of a college project. I'm trying to find the minimum torque needed so the car can begin to move, I'm assuming this will be the greatest torque required for motor selection, provided the vehicle will accelerate relatively...
  28. T

    Archived Initial and Final Conditions

    Homework Statement Given: A sealed, rigid container (cannot change shape or size) containing steam at the shown conditions has heat added until it reaches the final shown state. Determine: a) heat added, b) work performed, c) change in internal energy of the system, and d) final system...
  29. B

    First order partial wave eqaution, one boundary and one initial condit

    Homework Statement Solve \frac{\partial{w}}{\partial{t}} + c \frac{\partial{w}}{\partial{x}} =0 \hspace{3 mm} (c>0) for x>0 and t>0 if w(x,0) = f(x) w(0,t) = h(t) Homework Equations The Attempt at a Solution I know how to solve for the conditions separately and that would give...
  30. alane1994

    MHB Solving Initial Value Problem: \(\ln(t)+t^2y^2-\sin(y)=\pi^2\)

    Ok, I have a practice exam... My professor gave out a copy with worked out examples. There is one where I don't get his logic at all. I was wondering if you guys could explain it to me?\(\displaystyle (\frac{1}{t}+2y^2t)dt+(2yt^2-\cos(y))dy=0\) First, he put \(\text{Assume t>0}\) ...
  31. W

    Speed at Maximum Height and Initial Velocity

    Homework Statement An ball is launched at a 45 degree angle with an initial speed v0. What is its speed at its max height? Homework Equations n/a The Attempt at a Solution This problem does not contain any calculations. I was wondering if somebody could explain how the speed at...
  32. N

    MHB First Order Differential Equations, given initial value....

    I'm having trouble with this problem... I am almost certain that I have the first part correct which is solving the first order DiffEQ using an integrating factor. I think that I am computing the constant incorrectly. I have followed all steps, including the similar problem given on WileyPlus...
  33. A

    Need Physics help with launching from angle w/ initial velocity

    Homework Statement You now place the launcher on the floor and shoot a steel ball at an angle of 45°. If you had previously measured an initial velocity of 3.3 m/s for this launcher, then how far from the launcher do you expect the ball to hit the floor? Homework Equations I can't find...
  34. K

    Initial momentum amplitude to wave function

    Homework Statement http://www.whoisntdavidrinaldi.com/Untitled.png Homework Equations The Attempt at a Solution So I had to use this initial momentum and multiply it by a plane wave (sure you are aware of the exp[i(px+p^2(t)/2m)\hbar] ) setting p-p_0 to q and then coupling all terms...
  35. mesa

    Solve a differential equation for the initial conditions,

    Homework Statement Solve y' = (y^3)(t^2) for the initial condition y(0)=0 and state in which interval in 't' this solution exists. The Attempt at a Solution First I divided both sides by y^3 and then subtracted t^2 from each as well, -t^2 + y'(y^-3) = 0 then solved, (-t^3)/3 +...
  36. M

    Help With finding initial vertical speed

    Homework Statement A Ball is thrown upwards. What is its initial vertical speed? The acceleration of gravity is 9.8 m/s2 and maximum height is 7.2 m ,. Neglect air resistance. Homework Equations Vfinal squared = velocity initial squared + 2g times change in y The Attempt at a...
  37. M

    Initial Velocity: Stone Released from Balloon

    A stone released from balloon moving upwards with some constant velocity, the initial velocity of stone is same as the velocity of balloon with opposite sign, but how? What i thought is that the instant stone is released which goes upwards with balloon, stone which is going upwards would stop...
  38. F

    MHB Solving the IVP for x=c_1\cos{t}+c_2\sin{t}: Solution to DE & Initial Conditions

    x=c_1\cos{t}+c_2\sin{t} is a two-parameter family of solutions of the DE x''+x=0 Find a solution of the IVP consisting of this differential equation and the following initial conditions: x(\frac{\pi}{6})=\frac{1}{2} and x'\frac{\pi}{6}=0 So x'=c_2\cos{t}-c_1\sin{t} x''=-c_2\sin{t}-c_1\cos{t}...
  39. W

    Find the initial velocity of a projectile

    Homework Statement So it's based off of a track&field long jumper. Calculate the initial speed, v0, of a long-jumper where d=7.87 m. Assume a take-off angle of 21.4°, an initial height of the centre-of-mass of 0.920 m, and a final height of 0.460 m. So I use the range equation for...
  40. K

    Initial velocity of home run hit

    Homework Statement According to the Guinness Book of World Records, the longest home run ever measured was hit by Roy “Dizzy” Carlyle in a minor league game. The ball traveled 188 m (618 ft ) before landing on the ground outside the ballpark. Assuming the ball's initial velocity was 52 ∘...
  41. R

    Initial Speed and Projectile Motion

    Homework Statement So it's a projectile motion problem. I draw a graph showing the parabolic trajectory of the ball, with the start point at the origin. It's final x = 24.8m and final y = 0m Homework Equations We have three constant acceleration equations we use in my course: \vec{v}_{fx}...
  42. C

    Laplace transforms to solve initial value DE / partial fractions

    Hey guys, i have read many posts on physics forums but this would be my first post. I am quite stuck so any help would be much appreciated. Homework Statement Use Laplace transforms to solve the initial value problem: f''(y) + 4f'(y) +8y = u(t-1) where y(0) = 1 and y'(0) = -1 Solve...
  43. H

    Accelerated Motion in [2]- initial speed and launch angle

    Homework Statement The range of a projectile is 483m, and it reached a maximum height of 65m. What were the initial speed and launch angle of the projectile? Assume the start and finish heights are equal. Homework Equations The Attempt at a Solution I just need a push in the...
  44. ZapperZ

    Is the iPod functionality in iOS 7 too simplified and difficult to use?

    I seldom review new electronics and new OS, but this one got to me. Please note that I'm not a rabid fan of anything. I have Macs, Windows, Android phone, and Apple iPads. I use them all. But I did like the IoS interface, which I found very intuitive and very easy to see, especially with my...
  45. F

    Initial velocity required for a certain displacement

    Apologies, this is most likely basic to most of you, and there are probably much better ways to go at this than I have. Homework Statement An 8mm wide cone of a hypothetical substance which does not melt, with a mass of 2.7 grams, is shot straight up at a 90 degree angle. Only accounting...
  46. S

    Initial conditions in quantum mechanics

    Hello, I'm doing an undergraduate introductory course in quantum mechanics, and I'm having a hard time understanding the interpretation. I've recently learned about the famous "Particle in a box" problem, in which we solve the time-independent schrodinger wave equation to get the energy...
  47. N

    MHB A question regarding initial values and verifying solutions

    I want to start out with a quick disclaimer, we had a 75 question homework packet assigned a few weeks ago with a few questions from every lecture and this first one is due tomorrow. I missed a lecture, so am completely lost on 3 questions from that lecture. Just don't want it to seem like I'm...
  48. N

    MHB 2 questions regarding initial values and verifying solutions

    I want to start out with a quick disclaimer, we had a 75 question homework packet assigned a few weeks ago with a few questions from every lecture and this first one is due tomorrow. I missed a lecture, so am completely lost on 3 questions from that lecture. Just don't want it to seem like I'm...
  49. A

    What is the speed of the ball when it leaves Sarah's hand?

    Homework Statement The question I am struggling with is the second version of a similar problem so to make it easier for me to receive assistance, I'll post both parts: Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an...
  50. C

    How can I solve a separable differential equation for an initial value problem?

    Homework Statement Solve the initial value problem: dx/dt = x(2-x) x(0) = 1 Homework Equations Problem statement. The Attempt at a Solution Based on the format, I attempted to solve the problem as a separable differential equation: ∫dx/(x[2-x]) = ∫dt Evaluating to...
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