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. Cocoleia

    Non exact differential equation, initial value problem

    Homework Statement I am trying to solve the following: y'''-9y'=54x-9-20e^2x with y(0)=8, y'(0)=5, y''(0)=38 Homework EquationsThe Attempt at a Solution The right answer is: y= 2+2e^3x+2e^(-3x)-3x^2+x+2e^2x I am only wrong on the coefficients C2 and C3. Where did I mess up in my solution?
  2. H

    Kinetic energy change with initial velocity

    It is my understanding that to calculate the change of kinetic energy of an object that speeds up from vi to vf you use this formula: Change of kinetic energy = 1/2 * m * (vf2 - vi2) When the initial velocity is 0 m/s I have no problems, but let's say an object that weighs 2 kg speeds up from...
  3. Cocoleia

    Initial value problem - differential equations

    Homework Statement I am given (y^2 + y sin x cos y) dx + (xy + y cos x sin y) dy = 0, y(0) = π/2 . I need to solve this Homework EquationsThe Attempt at a Solution At this point they still aren't exact, so I gave up. I can't figure out what the problem is. Is it possible that I have to...
  4. karush

    MHB 242.14.2. solve the initial value problem

    $\tiny{242.14.2}\\$ $\textsf{(a) Verify that y = $Cx^2+1$ is a general solution to the differential equation $\displaystyle x \frac{dy}{dx}=2y-2$}$ $\textsf{(b) Use part (a) to solve the initial value problem $\displaystyle x \frac{dy}{dx}=2y-2, \, y(2)=3$}$ $\textit{all new so kinda ??}$
  5. A

    MHB Perpetuity initial step confusion

    Hi, I'm a bit confused regarding what steps to take to answer the following question: In 8 years, a new library is being opened. Expenses are estimated to be $52,000, payable at the end of each month. If all funds earn 14.4% compounded monthly, how much money needs to be invested today, to be...
  6. Mr Davis 97

    Initial conditions for recurrence relation

    Homework Statement If ##a_n## counts the number of ways to climb a flight of n stairs if one can take 1, 2, or 3 steps at a time, then ##a_n = a_{n-1} + a_{n-2} + a_{n-3}##. What are the three initial conditions? Homework EquationsThe Attempt at a Solution I would say that ##a_0 = 1## since...
  7. Justas

    Vertical throw initial height 15 time 3s until hiting ground

    Homework Statement Height - 15m Time when ball hits the ground after upward throw 3 s. I have been trying to find intitial speed with these formulas : d=v_initial*t-0.5*g*t^2 and v=v_initial+g*t Please help to understand how to find initial speed and after what time the ball is at 15m height...
  8. GiantSheeps

    What can you predict given acceleration and initial velocity

    Homework Statement If you know the acceleration of a car and its initial velocity, you can predict which of the following? A. The direction of the car's initial velocity B. The magnitude of the car's final velocity C. The displacement of the car D. All of the above Homework Equations I said...
  9. moenste

    Find initial current and resistance in a circuit

    Homework Statement A battery of internal resistance 0.50 Ω is connected (as shown below) through a switch S to a resistor X, which is initially at 0 °C. When S is closed, the voltmeter reading falls immediated from 12.0 V to 10.0 V. The reading then rises gradually to a steady value of 10.5 V...
  10. B

    I How Can Exponential Decay Reveal Initial Temperature?

    Suppose that you take a thermometer outside where it is 100°. T(5min)=80° T(15min)=90° What is the initial temp of the thermometer? Given equation dT/d t= k(T-Te) Derived Equation ⌠(T-Te)^-1 (dT/dt)dt =⌠ kdt ln(T-Te)=kt + c T=ce^kt + Te so i basically got the answer by knowing c...
  11. F

    Initial velocity to get from on known position to another?

    I have a problem where I need to figure out the initial velocity vector \vec{v_0} of a projectile, in order for it to land at the final position \vec{r_f} = x_f\hat{x} + y_f\hat{y} + z_f\hat{z}, from initial position \vec{r_0}. ___ The only knowns in the problem are \vec{r_0} and \vec{r_f}...
  12. Cocoleia

    Block projected up inlcline with initial speed

    Homework Statement I have a block on an inclined plane (the angle is 40). The block is projected with an initial speed of 2m/s and μ=0.05. I need to find the time it takes the block to go up the inclined plane and return to the point it started out. Homework EquationsThe Attempt at a Solution...
  13. C

    Postion vs time graph without time or initial speed?

    Homework Statement Consider the system shown to the right. Particles 1 and 2 are fixed in place while particle three is placed at the location shown and released. Let’s look at the mechanics of q3, which has a mass of 3.00 X 10-5 kg. What will be the net force on q3?What will be q3’s...
  14. K

    Find the initial velocity of the package relative to the ground

    Homework Statement A helicopter is flying in a straight line over a level field at a constant speed of 6.8 m/s and at a constant altitude of 9.4 m. A package is ejected horizontally from the helicopter with an initial velocity of 12.0 m/s relative to the helicopter, and in a direction opposite...
  15. B

    Finding initial velocity of a cat jumping through a hoop

    Homework Statement Kit the cat is going to jump through a hoop. He begins on a wicker cabinet at a height of 1.745 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.115 m above the floor. With what initial velocity did Kit leave the cabinet if the...
  16. E

    Momentum problem: 2 carts, finding initial speed

    Homework Statement A 2.0-kg cart collides with a 1.0-kg cart that is initially at rest on a low-friction track. After the collision, the 1.0-kg cart moves to the right at0.50 m/s and the 2.0-kg cart moves to the right at0.30 m/s .If the positive direction is to the right, what was the initial...
  17. E

    B Drop Ball Moving: Initial Velocity 0m/s?

    Hi I'm trying to solve a problem but I'm a bit confused about this part: Suppose you are walking at a speed of 2 m/s when you drop the ball that you were holding in your hands. Is the initial velocity 0 m/s? In the textbook it says that initial velocity for dropped objects is 0 m/s but that...
  18. M

    I Some questions regarding the initial singularity

    I seem to have missed the opportunity to post my questions on a related thread so I hope this is okay. First, a request. I have read on this forum that ["Singularity" is just shorthand for "the place where the math model breaks down and we don't know WHAT is/was happening".]. Since the wiki...
  19. V

    I Confusion about initial states and coherent states

    I've found online that the coherent state of the harmonic oscillator is |\alpha \rangle = c \sum_{n=0}^\infty \frac{\alpha^n}{\sqrt{n!}} | n\rangle where |n\rangle = \frac{(a^\dagger)^n}{\sqrt{n!}} |0\rangle and |0> is called the initial state. I've some code where I need to have this...
  20. Houeto

    A Initial value ODE with shifting forcing function

    Use laplace Transform to solve this ode: So I got: sV(s)-V(0)-12V(s)=U(s+5) V(s)(s-12)=U(s+5)+1 V(s)=[U(s+5)+1]/(s-12) Now to go back to time domain with Inverse Laplace Transform...My question is, how to transform U(s+5)/(s-12)? Any help? Thanks guys
  21. X

    Initial Velocity and Energy Conservation for Disk Collision

    Homework Statement Disk P (inertia 0.41 kg ) moves at an unknown velocity across a low-friction horizontal surface and collides with disk Q (inertia 0.75 kg ), which is initially at rest. After the collision, the two (now slightly dented) disks move apart without spinning. Velocity information...
  22. S

    Fluid in rotating tube with different initial levels

    Homework Statement Homework Equations Fluid in rotation The Attempt at a Solution This exercise is quite different from the classic one of fluidi in rotation. Before rotation starts the height in one branch is bigger than in the other, so I do not really know how to approach the problem...
  23. Omish

    Ansys Fluent solving without initial amounts

    Hi I have a pipe Which has constant heat flux from walls. I need to get pressure drop (dP) and temperature rise (dT) in outlet as results. I know the velocity inlet, but don't have pressure inlet and tempreture inlet. Would fluent be able to solve the modeling and give me dP and dT? I emphasize...
  24. S

    I Highly localized initial psi in harmonic well

    Say we start with a wavefunction inside a harmonic potential well, such that the initial ##\psi(x)## is confined to a central region much smaller than the ground state (hence ##V(x)\approx0##).. and the expectation Kinetic Energy is equal to an energy eignenvalue ##E_n## of the system. Starting...
  25. C

    What's the minimum initial speed to score

    Homework Statement Alex Morgan is going to kick a soccer ball into the Canadians goal during the 2015 world cup. Alex kicks the ball straight at the goal from 20.0 m away, and it launches off the ground at an 33.3 degree angle. Assume the goalie is busy faking an injury and ignore air...
  26. Yukterez

    I Schwarzschild equation of motion: initial conditions

    The Schwarzschild equation of motion, where coordinate length is differentiated by proper time is as far as I know r''(t) = -\frac{G\cdot M}{r(t)^2} + r(t)\cdot{\theta}'(t)^2 - \frac{3\cdot G\cdot M\cdot{\theta}'(t)^2}{c^2} {\theta}''(t) = -2\cdot r'(t)/r(t)\cdot{\theta}'(t) Now the question...
  27. P

    How to solve for Initial velocity Problem

    Homework Statement A bobsled glides down a hill with an acceleration of -4.5 m/s If it stops after 5 s, what was its initial velocity? 2. Homework Equations i know vf(final)= v + at The Attempt at a Solution i multiplied -4.5m/s by 5s and i got the correct answer the only problem is the...
  28. B

    What Was the Initial Velocity of the Second Car in the Collision?

    Homework Statement A 1350kg car traveling at 72km/h collides with a slow-moving car of mass 1650kg, also initially traveling south. After the collision, the velocity of the 2 cars together is 24km/h. Determine the initial velocity at which the second car was travelling. Given: m1=1350kg. vi1 =...
  29. T

    Final speed with mass, initial velocity, force, displacement

    Homework Statement A 1000kg car is moving at 25ms when a net force of 200N acts to slow the car. This force acts while the car moves through a distance of 300m. Find the new speed. Homework Equations Kinetic Energy equation v2=u2+2as The Attempt at a Solution Attempted the use of Kinetic...
  30. B

    Find the initial velocity of a man falling in a boat

    Warren falls over his tackle box and lands in a canoe 0.95 m below the side of the dock. Warren's mass is 70 kg and the canoe has a mass of 72 kg. Warren and the canoe move 1.73 m away from the dock in 1.005 seconds. relating equations are Vi = Vf - at v = d/t A = change in velocity/time...
  31. S

    Possible to solve for the initial speed of a projectile?

    Is it possible to solve for the initial speed of projectile hitting a target given that we know the direction (vector) that it is released at and the point on a the surface that it is hitting? If so how would you go about finding an equation to solve for this? I realize that this is a...
  32. A

    Distance from an initial position that two objects will meet

    Homework Statement 40kg girl and 8.4kg sled are 15m apart on the surface of a frozen lake. By means of a rope, girl exerts a horizontal force of 5.2N on the sled, pulling it towards her. How far from the girls initial position do they meet? Homework Equations f=ma The Attempt at a Solution I...
  33. J

    Initial Mass Function Question (white dwarfs, neutron stars and black holes)

    Homework Statement Calculate the number of white dwarf, neutron star and black holes the galaxy will have after 5Gyr of evolution. M<8(solar mass) for white dwarf 8(solar mass) < M < 40(solar mass) for neutron star M > 40(solar mass) for black hole Initial mass function is ξ(M) = AM-s...
  34. abrogard

    B Initial Impetus Needed for Curved SpaceTime?

    In a gravitational field you can put a particle and it is immediately subject to a force that tries to accelerate it. But in a curved spacetime notion if you put a particle it has no reason to move. Right?
  35. J

    Initial energy stored in springy steel before oscillating

    1. Homework Statement Ok so, for part b ii) The solution did this : 1/2 (0.065) (2π /0.3)2 (1.5 x 10-2)2, which is the KE of the mass when its speed is max. But why do they calculate the energy when it is at its equilibrium position where its speed is max? I assume that the energy before...
  36. P

    Calculate initial speed of an athlete - projectile motion

    Homework Statement An athlete can cover 3.0 m for a standing long jump. Assuming that this athlete jumps at an angle of 45 degrees to the horizontal. calculate the speed at which the jumper can launch herself from a standing start. Assume g =10 ms^-2 and no air resistance Assume that horizontal...
  37. tink7718

    Initial height of a bouncing ball and energy lost

    I am doing a lab in my senior physics class (IB HL Physics 3-4) and I am very confused about a relationship that I found. For my experiment I dropped a racquetball from different heights and then used video analysis to find the height of the ball on its final bounce. I used this data to...
  38. Telemachus

    Initial value problem, finite differences

    Homework Statement Given an initial value problem: ##x'(t)=f(t,x)\,,x(t_0)=x_0## Use centered finite differences to approximate the derivative, and deduce a scheme that allows to solve the (ivp) problem. Homework Equations For centered finite differences ##\displaystyle\frac{dx}{dt} \approx...
  39. G

    Calculating Initial Velocity of Water After Nozzle Increase

    Homework Statement how to know that the nozzle increases the velocity of water by 6 times? it's not given ... and no data for initial velocty given Homework EquationsThe Attempt at a Solution
  40. G

    Initial velocity and time of motion through water

    Homework Statement What initial velocity has to have a ball at the height h=1m in order to sink in the water to depth of s=4m? How long is the motion of a ball through water? A ball is made of material that has density \rho=770 kg/m^3. Surface tension and friction are negligible. Homework...
  41. V

    Initial Conditions Applied to a Lagrangian

    Homework Statement The scenario is a pendulum of length l and mass m2 attached to a mass of m1 which is allowed to slide along the horizontal with no friction. The support mass moves along in the X direction and the pendulum swings through the x-y plane with an angle θ with the vertical. After...
  42. O

    Finding time when you have initial velocity and position

    ***Sorry I meant to say finding time when you have initial velocity and position*** 1. Homework Statement A test rocket is launched by accelerating it along a 200.0-m incline at 1.36 m/s2 starting from rest at point A (the figure (Figure 1) .) The incline rises at 35.0 ∘ above the horizontal...
  43. md3v

    Need help finding initial velocity

    Homework Statement A football started on the ground 64 yards from the base of the goal post and barely clears the 10 ft high bar. The initial trajectory of the football was 43 deg above the horizontal. What was its initial speed? Homework EquationsThe Attempt at a Solution (vf)^2 = (vi)^2 +...
  44. M

    Does initial speed of a gun affect bullet velocity?

    My brother and I were having an argument so I decided to make an account on this forum. Say you were to lurch you hand forward while firing a pistol. Would that affect the max velocity of the bullet?
  45. S

    Initial pressure to launch ball at Velocity Z

    1. Problem I have a horizontal cylinder with a ball in it. What must the initial pressure be to launch the ball at Z velocity? 2. Attempt P = F/A A = Surface Area(Cylinder) - 1/2 Surface Area (Ball) = (2πrh) F = m*a U = - ∫ F dx U = 1/2 mv^2 at x = h ∫ a dx = -1/2mv^2 / m at x = h Z =...
  46. M

    Projectiles in space: Calculating initial velocity

    This question is on space and projectiles. It is about comet 67P/ Churyumov-Gerasimenko and the Rosetta/ Philae lander. Question: 67P has a gravitational field strength of 5.2x10^5 N/Kg. After Philae bounced it took 1 hour 50 minutes to reland. Calculate the initial velocity of Philae. Does this...
  47. B

    What Is the Maximum Initial Velocity of a WW2 German U2 Rocket?

    Homework Statement A German U2 rocket from WW2 had a range of 300km, reaching a maximum height of 100km. Determine the rocket's maximum intial velocity. X component variables: di=0, df=300, a=0, time=9, vi=? Y component variables: a=-9.8, vf=0, vi=?, di=0, df=100, displacement=100, Note: For...
  48. M

    Ending point for initial condition theories

    I am not a scientist, but as a hobby I am summarizing different initial condition theories, specifically, eternal inflation, LGC, cyclic, and bounce theories. I need a completion time ATB where all theories produce an identical plasma. The plasma then enters the big bang process of expansion...
  49. B

    Forces on a Skydiver during the initial frefall phase of the jump

    Homework Statement A skydiver is jumping out of an airplane. During the first few seconds of one jump, the parachute is unopened, and the magnitude of the air resistance acting on the skydiver is 251N. The acceleration of the skydiver during this time is 5.96 m/s^2 [down]. Calculate the mass of...
  50. R

    Piecewise initial condition heat equation

    Homework Statement I have the solution to the heat equation, with the BC's and everything but the IC applied. So I am just trying to solve for the coefficients, the solution without the coefficients is $$u(x,t) = \sum_{n=1}^{\infty} A_n\sin(nx)e^{-n^2t}$$ If the initial condition is ##u(x,0) =...
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