I'm completely lost have no clue where to start or anything.
A 2.50 box that is several hundred meters above the surface of the earth is suspended from the end of a short vertical rope of negligible mass. A time-dependent upward force is applied to the upper end of the rope, and this results in a tension in the rope of . The box is at rest at . The only forces on the box are the tension in the rope and gravity.
What is the velocity of the box at 1.00 ?
What is the velocity of the box at 3.00 ?
What is the maximum distance that the box descends below its initial position?
At what value of does the box return to its initial position?
A primitive roller coaster track follows a straight line before entering a circular turn. The position of the?
A primitive roller coaster track follows a straight line before entering a
circular turn. The position of the car is given by the following prame-
(1i + t j + 0 k; t < 0
cos(t) I + sin(t) J + 0 k; t >= 0
(a) Find the velocity vector as a function of time. Your answer will
be a piecewise function.
(b) Verify that the car moves with a constant speed.
(c) Find the acceleration vector as a function of time. Your answer
will be a piecewise function.
(d) Find lim as t->0- a(t)
and lim as t->0+ a(t)
(e) Based on part (d), describe what it would feel like to ride this
roller coaster at time 0.
Remember ||w||^2 = w dot wEngineering8 years ago
The Bernoulli spira has a parameterization
r(t) = e^t cos(4t)i + e^t sin(4t)j :
(a) Verify that the angle between r(t) and r'(t) is constant.
(b) Find that angle in degrees.3 AnswersMathematics8 years ago
Suppose that y = f(x) is a dierentiable function. Let r(t) = ti +f(t)j .
(a) Compute the velocity vector r'(t) in terms of f and t.
(b) What is the relationship between r'(t) and f'(t)? Explain in one
or two sentences.
(c) Compute the speed |r'(t)| in terms of f and t.
(d) For which functions will the speed of r be constant?
u and v are vectors
Determine whether the following parameterized curves collide or inter-
sect (or neither).
r1(t) = ti + t^2j + t3 k
r2(t) = (4t + 6)i + 4t^2j + (7 - t) k
1. Two lines parallel to a third line are parallel
2. A plane and a line either intersect or are parallel
3. Two planes orthogonal to a third plane are parallel
4. Two planes either intersect or are parallel
5. Two lines orthogonal to a third line are parallel
6. Two lines orthogonal to a plane are parallel
7. Two planes parallel to a line are parallel
8. Two lines parallel to a plane are parallel
9. Two lines either intersect or are parallel
10. Two planes parallel to a third plane are parallel
11. Two planes orthogonal to a line are parallel
Sketch the triangle with vertices O,(0,0,0) P,(0,5,5) and Q,(4,0,7) and compute its area using cross products.?
I keep getting area=45 but it tells me it is wrong?
Use dot product properties to verify that for vectors v and w of the same size ||v+w||^2-||v-w||^2=4(v dot w)?
Do not use components
Find the two unit vecotrs in the xy plane that are prallel to the tangent line of the parabola y=2x^2.....?
Find the tow unit vecotrs in the xy plane that are prallel to the tangent line of the parabola y=2x^2 at the point (2,8). Then find the unit vectors on the plane that are perpendicular to the tangent line of that curve at that point.
This is calc 3 homework, if you don't want to tell me the answer at least tell me the steps to find it. All help is greatly appreciated.
i and j are unit vectors, where i = (1angle0) and j = (1angle90) that is find the magnitude of F and the angle of F in degrees.
Please show all steps I don't even know where to begin.4 AnswersEngineering9 years ago
I'm looking to buy a D SLR soon, and need a little help. I originally wanted a Nikon D3000 but upon looking I am trying to find something a little cheaper since I'm really low on money. I'm not against buying a refurbished model. Any suggestions are welcome. I'm currently interested in a refurbished sony alpha a230, http://store.sony.com/webapp/wcs/stores/servlet/Pr... . Comments on this model or something else that I should consider?3 AnswersCameras9 years ago
I don't have any extrenal drives plugged in or cd's in the drive. When it restarts I get the same message over and over.
When the Vaio log comes up I pressed F10 to try and go into factory restore mode but it wont load, it goes to starting Windows screen and then I get a black screen with a mouse.
I'm in college so I really need this fixed fast. I tried all I know. Any suggestions appreciated.1 AnswerLaptops & Notebooks9 years ago
The power delievered by a battery to an apparatus of resistance R (in ohms) is P = 2.25R/(R + 0.5)^2 watts.?
find the rate of change of power with respect to resistance for R = 3 and R = 53 AnswersEngineering9 years ago
s(t) = Snot-Vnot(t)+.5gt^2
how many seconds till it hits the ground and i can figure out the velocity5 AnswersPhysics9 years ago