Initial Definition and 1000 Threads

Homework Statement http://scc.scdsb.edu.on.ca/Students/onlinecourses/Sikora/sch4u/v12/64.pdf That is the lab I have been working on. I've done the lab but I am answering the questions. I don't understand the Analysis question #1. How do I calculate the reaction rate for oxygen if I don't have...

Driving along a crowded freeway, you notice that it takes a time t to go from one mile marker to the next. When you increase your speed by 4.5 mi/h, the time to go one mile decreases by 9 s. What was your original speed? I've been working on this for 2 hours, I can't seem to get the formula...

theorem states that for y'' + p(x)y' + q(x)y = r(x); if y1 & y2 are random numbers such that y(m) = y1 and y'(m) = y2 then we can find a unique solution y for above differential equation... in y'' - y'/x = 0; both y = x^2 and y = 0 and y = k x^2 satisfy above with .. y(0) = 0; and...

Homework Statement At time t = 0, a car has a velocity of 16 m/s. It slows down w/an acceleration given by -0.50t in m/s^2 for t in seconds. It stops at t =? Homework Equations The Attempt at a Solution v = 16 - 0.5t 16/.5 = t 16 x 2 = t 32 = t Did I set this up wrong? My...

Homework Statement The "hang time" of a punt is measured to be 3.50 s. If the ball was kicked at an angle of 69.0° above the horizontal and was caught at the same level from which it was kicked, what was its initial speed? (Neglect air resistance.) Homework Equations All Kinematics...

Homework Statement Solve the Initial value problem using Laplace transform \ddot{y} +2y = 0, y0 = C1, \dot{y} = C2 Homework Equations [s2 - sy(0) - y'(0)] + a[sY - y(0)] + bY The Attempt at a Solution s2Y - sy(0) - y'(0) + 2y = 0 s2Y + 2Y = sy(0) + y'(0) (s2 + 2)Y = s(C1) + (C2)...

Homework Statement sin(y)\frac{ \partial u}{ \partial x} + \frac{ \partial u}{ \partial y} = (xcos(y)-sin^2(y))u where ln(u(x,\frac{\pi}{2})) = x^2 + x - \frac{\pi}{2} for -1 \leq x \leq 3 determine the characteristic curves in the xy plane and draw 3 of them determine the general...

Hi, I need to calculate the magnitude of the initial velocity of the following data for projectile motion. Any help would be greatly appreciated as I have no idea where to start! Thanks please see the question here: http://i52.tinypic.com/15p0kza.png and the data here...

Hi, I need to calculate the magnitude of the initial velocity of the following data for projectile motion. Any help would be greatly appreciated as I have no idea where to start! Thanks please see the question here: http://i52.tinypic.com/15p0kza.png and the data here...

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Hello experts! As we know that there are 3 different general solutions of an ordinary differential equation depends on that what type of roots we've gotten in the solution, listed below. 1) y(t)=c1em1t+c2em2t 2) y(t)=c1emt+c2temt 3) y(t)=c1eucos(v)+c2sin(v) Now 1st solution is used...

So the question is y" - y' - 6y = e^-x + 12x, y(0)=1,y'(0)=-2 First I found the general solution which came out to be, Ae^3x + Be^-2x I then Substituted y=ae^-x + bx + c y'=-ae^-x + b y"=ae^-x Then I just compared the coefficients to get a=-1/4, B=-2 and C=-1/6 So I am getting y =...

a 3rd order IVP I am havin trouble with: y''' -3y'' +2y' = t + e^t y(0)=1, y'(0)= -.25 y''(0)= -1.5 I am using At^2 and B*e^t *t as my Y1 and Y2. Is this correct?

hi there, i'm programming a simulation of a projectile that has a known target off in the distance somewhere in my 3D world, i also know the angle at which i will be firing the projectile. i am firing the projectile on flat ground (so the start and end y-coordinates are the same). i'm...

Hey folks, I have an orbit in the circular restricted three body problem with initial conditions [x(0), 0, z(0), 0, y'(0), 0] I'm following this paper http://adsabs.harvard.edu/full/1984CeMec..32...53H on how to correct these initial conditions given the state transition matrix at a...

One particle has a mass of 3.00 10-3 kg and a charge of +7.50 µC. A second particle has a mass of 6.00 10-3 kg and the same charge. The two particles are initially held in place and then released. The particles fly apart, and when the separation between them is 0.100 m, the speed of the 3.00...

Homework Statement In a baseball game, a batter hits the ball at a height of 4.60 ft above the ground so that its angle of projection is 52.0º to the horizontal. The ball lands on the grandstand, 39.0 ft up from the bottom. The grandstand seats slope upward at 28.0º with the bottom seats 358...

Hey folks I'm looking into halo orbits and I have a question about how to find the initial conditions from the third order approximation solution... A good run through of the third order solution calculation is found in this paper...

Hey, we have to solve the following problem for our ODE class. Homework Statement Find the solution of the initial value problem dx/dt = (x^2 + t*x - t^2)/t^2 with t≠0 , x(t_0) = x_0 Describe the (maximal) domain of definition of the solution. The Attempt at a Solution Well...

1. y'' -5y' + 6y = 0, y(0) = 1, y'(0) =2 3. [s^2 F(s) - s f(0) - f'(0)] -5 [F(s) - f(0)] + 6[F(s)] = 0 (s^2 +1)F(s) - (s -5)f(0) - f'(0) = 0 (s^2 + 1)F(s) - (s-5)(1) - 2 = 0 (s^2 + 1)F(s) = s -3 F(s) = (s-3)/(s^2 + 1) Here's where I'm stuck. I can't factor the denominator to...

I am having trouble with the below problem: y'-(3/2)y= 3t+ 2e^t, y(0)= y0. fine value of y0 that separate solutions that grow positively and negatively as t=> infinity. I found p(t) to be -3/2, u(t) to be e^-3t/2 => e^-3t/2*y' - 3y/2( e^-3t/2)= e^-3t/2(3t+ 2e^t) => -2 -4e^t + ce^...

I need help with an initial value problem, ty' + (t+1)y= t; y (LN 2)= 1 I divided t and have u(t) as exp Integral of t+1/1 => e^t +t Multiplied this to the original equation to get (e^t +t)y' + ((t+ 1)/t) *y *(e^t +t) = (e^t +t) How can I integrate the above? Are my steps so far...

Homework Statement Proof that there exist more than one solution to following equation \frac{dx}{dt} = \sqrt[3]{x^{2}} , x(0) = 0Homework Equations The Attempt at a Solution Well, I need a confirmation to my attempt of solution. The one is quite forward: \Rightarrow x=(1/3(t+c))^{3} Pluging...

A ball is thrown into the air from ground level. After a time t = 2 s, the ball has traveled to a position x1 = 27 m to the right of and y1 = 10 m up from where it was thrown (at this time, the x and y components of the ball's velocity are still positive). The axes show the x and y directions to...

Homework Statement Find the general solution for the following systems of equations, a solution to the initial value problem and plot the phase portrait. --> this is in matrix formx' = 1 2 0 3 all multiplied by x. also, x(0) = 2 -1 Homework Equations Determinant, etc.The Attempt at...

Discern initial V w/o components!? Homework Statement Ok, ball traveled 188m (618 ft) before landing on the ground. Assume ground is flat, and ball Vi is from 45o, disregard air resistance, and Starting position is .9m above ground. Find Vi I KNOW )))) a= 9.8 m/s2...

Homework Statement I'm having trouble finding the initial velocity without knowing the time. A basketball player is standing on the floor 10.0 m from the basket. The height of the basket is H = 3.05 m, and he shoots the ball at an angle, θ = 42.0°, with the horizontal from a height of h =...

Homework Statement A ball ( 2.7 g ) is launched at a 45 degree angle with a solenoid input of 50V. What is the initial speed of the ball? Homework Equations KE = 0.5mv^2 PE = mgh dy = vy(0)t + 0.5at^2 dx = vx(0)t The Attempt at a Solution Voltage is potential energy and I...

Is this problem possible? Solve the initial value problem x''(t) + 6x'(t) + 9x(t) = f(t); x(0) = N, x'(0) = M I get to X(s)=(F(t)+Ns+6N+M)/(s^2+15) and don't know where to go from here. Any help would be appreciated.

Homework Statement A ball with mass m = 1.72 kg is attached to a peg at the origin using a length of massless string of L = 1.54 m. It is released from the top of a vertical circle with speed v0 = 4.81 m/s. What is the ball’s speed (m/s) when the string makes an angle θ = 21.7° above the...

Hey, I need some guidance on an IVP. In general, how do you proceed on these types of problems when you have only the initial values but no initial equation? For example, I have x1(0)=1 and x2(0)=0 but that is it. I understand, for example, how to do IVP's in the context of separating...

Hi, How can I solve the diffusion equation in one dimension: u_t=ku_{xx} ; -\infty < t < \infty , 0<x<\infty With the boundary conditions: u(0,t)= T_0 +Acos(wt) u(x\rightarrow \infty,t) \rightarrow T_0 Thanks!

Homework Statement solve the initial value problem for u du/dt= (2t + sec^2(t))/2u also, u(0)=4 Homework Equations antiderivative of sec^2(t) is tan(t) + C The Attempt at a Solution So, the first thing i did was move the "u" with the "u" and "t" with the "t". so the equation looks like...

Homework Statement What is the motion of a body thrown upwards from the Earth's surface, with escape velocity as it's initial velocity. Disregard the air resistance. Homework Equations v_e = \sqrt{\frac{2 G M}{x}} F_g = \frac{G M m}{x^2} The Attempt at a Solution I though this...

Homework Statement A truck drives in a straight line, east, from point A to point B, a distance of 180 meters, during 10 seconds, while slowing down at a constant rate of 6 meter per second squared. Calculate the initial velocity. The Attempt at a Solution Attached. I don't think...

Hi First of all, this is not a homework question, but I'm sorry if it's in the wrong sub-forum. I know that a football (soccer) has been kicked a distance of 5 meters using 0,16 seconds, that would give an average speed of 112,5 km/h, or approx 31 m/s. But since the speed of a football is...

Homework Statement A deer jumped out at 40 m in front of a car traveling at 30 mph. If the car managed to stop with 10 m to spare. Determine the velocity at which the car would be traveling so that the collision could not be avoided. Homework Equations Vf2=Vi2+2*AD Vf=Vi+At...

?!??Find an initial velocity v such that there's no oscillation,is my solution correct Homework Statement Can somone kindly tell me if my solution to question C and D is correct, if not, what did i do wrong? http://img9.imageshack.us/img9/4914/b52009cd.gif Homework Equations The Attempt at...

if a ball is thrown and caught at the same height with constant horizontal velocity and no vertical displacement is its initial and final velocity the same? since v2y^2=v1y^2+2aDy, no displacement means final vertical velocity will be the same as initial, since v2x=v1x, horizontal velocity...

Homework Statement a ball that is 10cm in diameter is thrown 2.4m above the level of hands vertically to reach a ceiling what is the initial velocity Homework Equations struggling to determine the intial velocity as have no time The Attempt at a Solution Help! really struggling

How big is the initial size of the Big Bang... inside a Planck length? Can it fit inside? Or as big as an egg? Or a kilometer?

Homework Statement A 7 kg shot put is thrown 18 meters. What was its minimun intial energy? Homework Equations When θ = 45° Range = V0sin(2θ)/g Velocity = √(R * g)

I have seen lots of simulations using the shallow water equations, and every one I've seen involves having some sort of initial displacement in the water, resulting in a propagation of waves through a medium of either constant or variable depth, as a function of position. However, can you...

Homework Statement A 5000-kg freight car rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as illustrated in the figure below. Both springs are described by Hooke's law and have spring constants with k1 = 1500 N/m and k2 = 3700 N/m...

I am working on the following initial value problem: y'' + 4y = 4, y(0) = 1, y'(0) = 1 The method they show is: (1): y = A cos x + B sin x A = 1, (2): y = 1 + A cos x + B sin x y(0) = 1 + A = 0 y'(0) = B = 1 Final answer is y(x) = 1 + sin(x) The problem I don't see is the first...

Homework Statement dx/ dt = x + y dy/ dt = x + y + et x(0) = 0 y(0) = 1.Homework Equations The Attempt at a Solutionx'' = x' + y' = x' + x + y + et x'' - 2x' = 0 y = x' - x

Homework Statement Conditions: (ii)x0 =0 and v0 =20ms−1 with a mass of 1 kg with c1 = 0.2kgs−1 and c2 = 0.02kgm−1 projectile is fired directly up (only considering motion in the EDIT y direction (previously x by mistake)) at 20m/s given eqn can calculate acceleration at the n+1 term (i.e 1...

I was solving a projectile motion problem and was wondering if, while going downwards, an object's final y velocity can be less than the initial y velocity. If this is true, would this change the time until it hit the ground? The only reason I was thinking about this is because if x/v = t. If...

Homework Statement A body has a constant acceleration of +5 ft/s^2, an initial speed of -10 ft/s, and a time travel of 4 seconds. A)Find the total distance covered B)Find the time at which the body has an instantaneous speed of zero Homework Equations speed=distance/time...

i can't see how they got X and Y expressions V_x is the derivative of X(t) by t 'A' and phi are needed to be found but when i don't know how to innpur the initial condition to find A_x and A_y because when we integrate x' expression bot sides i get x(t)-x(0)=[A_x*cos(wt+phi)]/w -...