I am having trouble with the following problem:
A rocket sled having an initial speed of 150mi/hr is slowed by a channel of water. Assume that, during the braking process, the acceleration a is given by a(v)=-u*v^2, where v is the velocity and u is constant.
a) write the equations of...
I would like to see the proof that the shortest distance between two points is a line. I found a proof online http://www.instant-analysis.com/Principles/straightline.htm but i can't quite follow it.
Does anyone know of a simple proof of this fact?
Can someone please explain to me how a plasma ball works? I think I kind of get it. I get that the current flows through the gas inside of the ball because there is a large enough electrical potential difference between the two points. I'm not sure why the sparks follow you finger around the...
i have a dial up modem and a wireless card and so does my brother. They work just fine. and we are able to share my dial up connection. (my machine is xp and has a connection sharing feature build into the operating system). It works just fine. So its possible.
has anyone come across any web site with good information on OLED technology. I'm not really looking for the technical details. What I?m interested in is a general overview of the technology. What it is advantage/disadvantages , applications, history. Stuff like that.
i would really...
I think you just need practice. If it’s a speed problem then practice could help. You say that you would do better if you had more time and that's a problem I can understand, but is it a problem worth solving? I have a similar problem. I am the strongest student in my math class but I take...
for the trig sub
x=sin(θ)
dx=cos(θ)dθ
substitute into original integral simpligy trig expresion and switch limits of integration (evaluate interms of theta) and you will get &pi/4
if you haven't learned trig subs check it out in your calc book it not a very hard topic.
the equation is for a semicircle of radius 1 from 0 to 1 you get a quarter circle and 1/4 pi *r^2=1/4pi
1/4pi is the answer
you could also evaluate the integral using a trig subsitution
you already found the answer if you devide both sides of the equation by 4 in your solution you also...
You are correct on the interval from 0 to π the length is as you stated but my answer is for [0,2π]
I assumed he wanted the length of a single wave which is produce over the interval [0,2π]
It would go something like this
y=sin(x)
dl^2=dx^2+dy^2 (Pythagorean theorem applied at the infinitesimal scale where dl is the length of the infinitesimal segment of the curve)
dl=√(dx^2+dy^2)
dl=√(1+dy^2/dx^2)dx
l=∫0…2π √(1+(dy/dx)^2)dx
l=∫0…2&pi...
I think I see it now.
Thank you both.
And Dimitri Terryn I am sorry for saying that you weren't answering my question. I simply misunderstood what you were saying. After reading Hurkyl's answer I realized that you were both saying the same thing.
You answer doesn’t really answer my questing. I was basically asking why the method works, so I guess I was asking for a proof.
I have taken Calculus BC in high school which is equivalent to Calculus I & II and I have a book called Thomas’ Calculus that goes through all the way to Calculus...
In my calculus course I was tough to solve differential equations by separation and then integrating
For instance
dv/dt = a
dv = a*dt
v= a*t + c (c is a constant of integration)
then if I was given an initial condition such as v(0)=Vo I would substitute into my general solution
and...
I may not be the best person to help you. I just started to learn physics on my own, over summer break.
Here goes nothing:
I think you use the basic equation for projectile motion. (ignoring air resistance)
x = v*cos(10)*t
y=v*sin(10)*t – (1/2)*g*t^2
v is the initial velocity and g is...
I already understood that the mass of the cord hanging down in L2/L.
How do you deal with the fact that the horizontal part of the cord is being pulled down and what about the tension in the cord?
I don’t understand how all the forces involved effect the system and therefore I don’t...
I’m stuck on a problem involving a cord that has mass. I know how to do problems where the cord's mass is 0 but ones the factor of the cords mass is introduced I’m lost.
I’m stuck on the following problem:
A block (mass m1) on a smooth horizontal surface, connected by a cord that passes...