Initial Definition and 1000 Threads

Homework Statement Knowing that snow is discharged at an angle of 40 degrees, determine the initial speed, v0 of the snow at A. Answer: 6.98 m/sHomework Equations The Attempt at a Solution I have found the x and y velocity and position formulas. Now since I don't know time, should I...

Homework Statement Help! I have no idea where to begin for this! You are driving along a straight section of roadway (x-axis). You spot a police officer and apply the brakes, slowing down at a constant rate. Your positions (in meters) at successive time intervals of 0.465 s are tabulated...

Initial Velocity and Acceleration--Please Help! Homework Statement You are driving along a straight section of roadway (x-axis). You spot a police officer and apply the brakes, slowing down at a constant rate. Your positions (in meters) at successive time intervals of 0.515 s are tabulated...

The world's highest fountain of water is located, appropriately enough, in Fountain Hills, Arizona. The fountain rises to a height of 560 (5 feet higher than the Washington Monument). What is the initial speed of the water

How do u find the initial speed of an object

Homework Statement I need to set up the mathematical formulation of the following heat conduction scenarios: a) A slab in 0\le x \le L is initially at a temperature f(x). For times t>0 the boundary at x=o is kept insulated and the boundary at x=L dissipates heat by convection into the...

Hey guys, I'm looking to calculate the initial velocity of a large object sliding to a stop over a surface. This is easy without the drag force of the air, but I'd like to include that to prove a point in my research. As a quick background, I haven't done a differential equation in over a...

Homework Statement In problem 11, determine by inspection at least two solutions of the given initial-value problem. Homework Equations 11. dy/dx = 3y^(2/3) , y(0)=0 The Attempt at a Solution I can't figure out what they mean by inspection, I have no examples to go off from...

Let's consider a second order differential equation f(x,\dot x,\ddot x,t)=0 and let's suppose that f satisfies all the conditions of the Cauchy Theorem, i.e. f is such that the equation above with the initial conditions x(t_0)=x_0\qquad\dot x(t_0)=v_0 has an unique solution in a...

Hi all, I am trying to work out the initial velocity of dry air, through a 3" opening in a pressurized tank (150 psi). I thought I should use Bernoulli's eq. as a start: P=1/2*rho*V^2 by changing the formula to give velocity, V = sqrt(P*2/rho) Then I realized there was no time value in...

1) (dy/dx) = (1) / ( 2√x ) + 10 , y(1) = -1 2) (d^(2)r / dt^2) = ( 4 / t^3 ) ; (dr/dt) | t=1 = -5, r(1)=5 ... i have no idea where to start. what are the steps needed to figure out the answer...can someone please solve this for me! t thank you so much.

Solve the following given y(0) = 0 & y'(0)=1: y′′+3y′+2y = u2(t), such that u2(t) is a heaviside step function Here's what I've got so far, =>s2Y(s)−sy(0)−y′(0) + 3sY(s)−3y(0) + 2Y(s)= exp(−2s)/s Y(s) = (exp(−2s) + s) / (s(s2+3s+2)) Y(s) = exp(−2s)/(s(s2+3s+2))* + 1/(s2+3s+2)** The...

Please verify my answer. Homework Statement Use Newton’s method with the specified initial approximation to find , the third approximation to the root of the given equation. (Give your answer to four decimal places.) x^5+2=0, x_1=-1 Homework Equations The Attempt at a...

Homework Statement Hi, I need to figure out the initial velocity if an object of 1400 kilograms is subjected to a friction coefficient (sliding friction) of 0.4587 for 75.6 metres, and its final velocity after being subjected to that friction is 23.05 metres per second. How do I go about this...

The total energy of a particle is given by: E_{tot} = 2 \dot{x}^{2} - cos(\frac{1}{2} \pi x) and I'm told that the particle passed through the point x=1 [m] with a velocity of \vec{v}=-\frac{1}{2} \hat{x} [m/sec]. I'm required to find the maximum velocity of the particle during its motion...

Homework Statement An 8.00 g bullet is fired into a 160 g block that is initially at rest at the edge of a table of 1.00 m height. The bullet remains in the block, and after the impact the block lands d = 2.2 m from the bottom of the table. Determine the initial speed of the bullet...

Homework Statement A juggler throws a ball straight up into the air with a speed of 10 m/s. With what speed would she need to throw a second ball half a second later, starting from the same position as the first, in order to hit the first ball at the top of the projectory? My problem is I am...

Homework Statement A rock climber stands on top of a 50-m-high cliff overhanging a pool of water. He throws two stones vertically downward 1.0 s apart and observes they cause a single splash. The initial speed of the first stone was 2.0 m/s. a) How long after the release of the first stone...

Homework Statement A stone is dropped off a bridge 50m above the water. Exactly 1s later another stone is thrown down and both stones strike the water together. What must the initial speed of the second stone have been? ohh I am sorry but i have no idea please help me out here thank you...

I wonder where I work, 3-phase ind. motor with 80 ohms resistance per phase from the manufacturer was re winded and the new resistance per phase was 89 / 90 / 94 Ohms in the 3 phases. when the motor was put back, it burnt within few hour, why was this?

My senior design project is to build a hybrid motorcycle. Using a hydraulic engine we are converting the breaking power of the motorcycle into stored energy for use when the motorcycle accelerates from a stop. The question is how to find an appropriate initial acceleration. The acceleration...

Homework Statement A shotputter projects the shot at 42 degrees to the horizontal from a height of 2.1 m. It lands 17 m away horizontally. Next, he gives it the same initial speed but changes the angle to 40 degrees. What effect does this have on the horizontal range? Homework...

Initial Acceleration? The force exerted by the wind on a sailboat is approximately perpendicular to the sail and proportional to the component of the wind velocity perpendicular to the sail. For the 950-kg sailboat shown in the figure below, the proportionality constant is Water exerts a...

Homework Statement The acceleration of a particle is given by a_{x}(t)= - 1.94 m/s2 +( 3.05 m/s3 )t. Find the initial velocity v_{0x} such that the particle will have the same x-coordinate at time t= 4.00 s as it had at t=0. Homework Equations vx= v0x + the integral ax dt The...

Homework Statement Find the initial velocity of a ball with the time=2.58 seconds and distance of 9.87 meters Homework Equations vi=v-at The Attempt at a Solution I don't understand how to find the acceleration with just time and distance is it just 9.8 m^3/second?

Homework Statement What I'm supposed to do is to rearrange the this formula -16t^2+Vt+h and solve it for V. V= Initial Velocity t= time (throwing the ball in a parabolic arc) h= height I know what the height is and it is 6ft. I also have the time which is 2.03 seconds. How do I rearrange...

I have not learned of any evidence that would help me decide between these two theories: 1. The big bang was an explosion of an object smaller than an atom. 2. The big bang was an explosion of an object larger than a base ball. Does our current technology permit us to find such evidence...

What formula would I use to find the initial velocity? An object is thrown vertically into the air and reaches a height of 30.0 m. Neglecting air friction, what was the object’s initial velocity? I don't quite remember how to do this. Is it 30.0m / 9.81[m/s]^2?

I am trying to find the initial velocity of a soccer ball , but I found this equation and do not understand how it came about: [PLAIN]http://superforbrain.com/files/vBall.PNG This is supposed to give you the velocity of the ball right after its kicked, using the mass of your leg, velocity of...

Hallo Every one, Homework Statement y(x,t)=sin(x)cos(ct)+(1/c)cos(x)sin(ct) Boundary Condition: y(0,t)=y(2pi,t)=(1/c)sin(ct) fot t>0 Initial Condition : y(x,0)=sin(x),( partial y / Partial t ) (x,0) = cos(x) for 0<x<2pi show that y(x,t)=sin(x)cos(ct)+(1/c)cos(x)sin(ct)...

Hello, this may be a rather simple question but it's beginning to irritate me: If I were launching a marble of, say, 10g (0.010 kg) from a marble launcher with a force of 5N (tell me if this is realistic or not) at an angle of 15 degrees then how would I go about finding the initial velocity of...

Homework Statement A student doing an experiment pours 0.150 kg of heated copper **** into a 0.375 kg aluminum calorimeter cup containing 0.200 kg of water. The cup and water are both initially at 25 C. The mixture (and the cup) comes to thermal equilibrium at 28 C. What was the initial...

A golf ball is hit and makes a 45o angle with the horizontal as it leaves the tee. It lands 200 m away. What was the ball’s initial speed? I though i know this well but i don't even know how to set this up

Homework Statement Part a.) You launch a 0.5 kg water balloon with a spring cannon in order to his someone 20m away. The spring in the cannon has a spring constant of 350 N/m. The spring cannon fires the balloon at a 30 degree angle with respect to the ground. What is the initial velocity...

y'' - ty' + y = 1, y(0) = 1, y'(0) =2 I'm trying to solve by Laplace Transform and I got stuck at the end.Anyone can help me to solve it?

Homework Statement 8.0 g of aluminum at 200 C and 22 g of copper are dropped into 55 cm^3 of ethyl alcohol at 15 C. The temperature quickly comes to 28 C. What was the initial temperature of the copper?Homework Equations The Attempt at a Solution tried using calorimetry equations, not getting...

Homework Statement Solve the following initial value problem. Sketch the solution and describe its behavior as t increases. y'' + 4y' + 3y = 0 y(0) = 2 y'(0) = -1 1st i solved the characteristic: r^2 + 4r + 3 = 0 r = -1 r = -3 then the general solution is; y = c_1e^-x +...

Homework Statement Suppose we know that B(\vec x ,t) is a solution to Maxwell's equations in vacuum and furthermore we know that E(\vec x , 0)=E_0. How do we find E(\vec x , t)? Homework Equations \nabla \cdot E = 0. \nabla \cdot B =0. \vec \nabla \times \vec B = \left ( \frac{-1}{c}...

Homework Statement A uniform rod of length 1.25 m is attached to a frictionless pivot at one end. It is released from rest from an angle θ = 23.0° above the horizontal. Find the magnitude of the initial acceleration of the rod's center of mass. I keep getting the wrong answer...

An object is thrown vertically into the air and reaches a height of 30.0 m. Neglecting air friction, what was the object’s initial velocity? What would the equation be for this question? I know that: Height: 30.0m Gravity: 9.81m/s I'm not quite sure what else I need to figure this...

1. Homework Statement [/b] Bullet B weighs 0.5 oz and blocks A and C both weigh 3 lb. The coeffient of friction between the block and the plane is \muk = .25. Initially the bullet is moving at v0 and blocks A and B are at rest. After the bullet passes through A it becomes embedded in block C...

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Hi guys! We started integral word problems today. I am very confused and could use some help with the following; A particle is moving along a straight line accelerating at a constant rate of 5 m/s^2. Find the initial velocity if the particle moves 60m in the first 4 seconds. Now, I...

I just started CM (I had 2 classes until now) and the professor said that if you know the position and velocity of say all the particles, then you know how the system will evolve. This, I already read and knew. I've probably a common question so feel free to redirect me to any similar...

Homework Statement Estimate the number of low and high mass stars that you expect to find in our Milky Way Galaxy now. Use the following (very approximate but about right numbers) for your estimate: The Star Formation Rate in our galaxy is approximately 1 Solar Mass per year and virtually...

Homework Statement y''-4y=60e4t y(0)=9 and y'(0)=2 Homework Equations none in particular The Attempt at a Solution First I solved for the auxiliary equation. r2-4r r(r-4) r=0, 4 So the general solution for the homogenous form is C1e0x+C2e4x where C1 and C2 are unknown coefficients to...

Homework Statement dx/dt = 2*(1-x^2) with x(0)=0 Obtain the analytic solution to the IVP. Then, obtain the terms in the Taylor series up to and including the t^5 term. Note: should be possible to express x(t) in terms of hyperbolic functions. The Attempt at a Solution...

Homework Statement A) A DMM with its 10M(ohms symbol) internal resistance is connected to a 9.9 microF capacitor that has been charged to 10 V. Calculate the intial rate of discharge of the capacitor through the DMM in micro-Coulombs per second. Hint: You do not need exponentials for this...

Homework Statement In 2.0 s, a particle moving with constant acceleration along the x-axis goes from x = 10 m to x = 50 m. The velocity at the end of this time interval is 10 m/s. What is the acceleration of the particle? Homework Equations kinematic equations The Attempt at a...

Homework Statement At what temperature will aluminum have a resistivity that is three times the resistivity of tungsten at room temperature? Rt=5.6 X 10^-8 ohm*m (The resistivity coefficient of tungsten at 20 degrees celcius) R0=1.59 x 10^-8 ohm*m (The resistivity coefficient of...