No, we haven't reached integration yet so he is not expecting us to solve it by integration. We're just about to finish differentiation.
Thank you so much for the help. I appreciate it. It was supposed to be challenging he said, so I was thinking it's not going to be that simple.
But how...
A ride on each of 3 different roller coasters lasts exactly 60 seconds. The horizontal position of each of the roller coasters (in meters) as a function of time
(in seconds) is given by
Streaker: S(t) = 4sin(t)cos(t)
Redhawk: S(t) = et/(t2-400)
Dragster: S(t) = (3600 - t2)3/2
Find...
Because I'm trying to compare 3 different roller coasters to see which one covers the most distance, the greatest velocity and the biggest acceleration during the 60 second ride.
The equation S(t) = 4sin(t)cos(t) is the POSITION of the roller coaster with respect to time for one of the roller...
Well I was confused because I thought S(60) -S(0) is displacement instead of total distance traveled??
I used S(60) -S(0) and got 1.16(thinking that is the displacement). Divided that by time( = 60s) and got average velocity of .019m/s.
Homework Statement
A roller coaster ride lasts only 60 seconds. What is the total distance traveled during the 60 seconds, given the position of the roller as a function of time is s(t) = 4cos(t)sin(t).
Homework Equations
Position as a function of time S(t) = 4cos(t)sin(t)
The...
Ok that was very helpful, thanks. I guess the graph i drew for q vs t is wrong since charge is not oscilatting around zero; but I can fix that.
So about energy transformation:
*Before the switch is closed, at t < 0, the capacitor is fully charged and it has all the energy(in it's electrical...
Could you please briefly explain your first sentence again? I don't think I get it that well.
But this is what I did:
w = sqrt(1/LC); Period = 2*pi/w; Total energy = (q02)/2C + .5*L*I2;
phi = cos-1(q0/qmax).
Now I want to find the maximum power storage in the battery during the circuit...
A circuit has a battery(V), Capacitor(C) and Inductor(L) connected in series. At t < 0, the switch is open and the capacitor has an initial charge of -800uC and Io = 0.0Amps.. When the switch is closed at t = 0, I want to know what happens here. I only understand an LC circuit where there is...
I am trying to analyse an RL circuit, particulartly the dependence of current in 2 resistors with time, in an RL circuit. This is what I think but I would really love some people to tell me if I am getting it wrong or if there is anything they want to add to it.
***Just after the the switched...
Thanks rasmhop... I did think "A" being an invertible matrix could make a difference but I didn't know how to prove it.
That was a very good help from you.
That makes sense. So if we have a1(Av1) + a2(Av2) + a3(Av3) = 0, then at least one of the constants could be zero and that will definitely result to a linearly dependent set.
Thanks.
That leads me to a related theory: Let's assume we are talking about {v1, v2, v3} being a linearly...
If A is a 3x3 Matrix and {v1, v2, v3} is a linearly dependent set of vectors in R^3, then {Av1, Av2, Av3} is also a linearly dependent set???
Is this true? Can someone please explain why or why not??
What I think: I think it is true because I read that a linear transformation preserves the...
Well maybe I should design a question to explain what my statement means.
Let's say a projectile(mass Mp, initial velocity Vpi, final velocity Vpf) collides with a thin rod(mass Mr, length L, initial velocity is zero, Inertial mass I, angular speed W). The rod is pinned at it's center on a...
So I did more reading and this is what I am understanding:
In a closed system(system upon which no external forces act), both linear and angular momentum are conserved.
So if we say this is a collision between a "resting thin rod(pinned at it's center)" and a "small object" on a frictionless...
What do you mean by total linear and angular momentum? Would that be like momentum "before" and "after" say in a collision? So if we consider this as a collision between a small object and the resting rod(pinned at center). I will say total linear momentum of the collision is NOT conserved...