Range Definition and 979 Threads

I need to find a derivation of the range formula for a projectile in the absence of air. i know that the range formula is Range=Vhxt i know that Vh=vcostheta but in having trouble understanding how V=Vo+at can be re-arranged to = 2Vsintheta/g=t where a=g=9.8m/s/s (gravity) i know...

I need to find a derivation of the range formula for a projectile in the absence of air. i know that the range formula is Range=Vhxt i know that Vh=vcostheta but in having trouble understanding how V=Vo+at can be re-arranged to = 2Vsintheta/g=t where a=g=9.8m/s/s (gravity) i know V=Vo+at can...

y is a correspondence of x. X is compact. Can somebody give me an example where y is compacted valued, but the graph(x,y) is not compact. A graph will be highly appreciated.

Homework Statement State if the following is a function. If yes, write domain and range. A. {(x,y): y=(x^1/2) ; x,y are real numbers and x>0} B. {(x,y): y^2=x ; x is real numbers and x>0} Homework Equations A relation is called function if each element of the domain...

Homework Statement I don't really know how to ask this, so I'll get straight into an example. x:x\in(-\infty,\infty) but x\neq1 x:x\in(-\infty,1)\cup(1,\infty) what is the difference between these two intervals? Homework Equations The Attempt at a Solution

"new" sliderule Hi guys, this may not be a regular question but, I am a competitive long range rifle shooter. I would like to make a slide rule type of instrument that takes the known height of my paper target in mils (1 mil is approx 3.6" at 100yards) and converts it to the distance in yards...

Hello, I completely understand the mathematics behind finding the range of a projectile flying over flat ground. But I cannot find a reliable formula for the projectiles range if it is flying over non-flat ground. If someone knows the correct formula and could perhaps explain why it works, it...

Homework Statement I completely understand the mathematics behind finding the range of a projectile flying over flat ground. But I cannot find a reliable formula for the projectiles range if it is flying over non-flat ground. Wikipedia had a formula but I did not understand how it could be...

Homework Statement A 1ns pulse of electromagnetic waves would be 30cm long. a) Consider such a pulse of 633 nm wavelength laser light. Find its central wavenumber and the range of wave numbers it is comprised of. b) Repeat a except for a 1ns pulse of 100MHz radio waves. Homework...

Calculus Help, Please. (Domain, Range, Graphs) Homework Statement Determine its domain and range. f(x) = {2x+1, x<0 {2x+2, x => 0 f(x) = {x^2 + 2, x<=1 {2x^2 + 2, x >1 f(x) = { |x| + 1, x<1 { -x +1, x=>1 Homework Equations No equations...

Hey guys How can I know the range of frequency whether it's long or short ? I have hard time knowin the range of for exmple ( 80 t0 120) MHz, 27 KHz ... or small value like 10 Hz .. strugglin with unit of Hz ? please guys convert those values into feet unit or in meter .. that would be...

In the showen figure the mass of block m1 is 2kg and the static and kinesthetic friction coefficients of this block with the bended plane are 0.3 and 0.2 If the system is in rest state,find the range of the values that m2 can take for the system not to move...

What is there about a particular protocol that defines its range of use? Is there such definition? i.e. 802.11 is used for short range high bandwidth, GSM/EGPRS for long range cellular communications and bluetooth for even shorter range communication on PANs. Is it possible for 802.11 to be...

Hi, I measure the output from my circuit between 0,1 mV to 0,8 mV at 200mV setting on my digital voltmeters. How can I measure it more sensitively at least 100 times, or amplify it 100 times so that I can know the values such as 0,427mV instead of 0,4mV? I tried it using a differential...

1. A projectile is launched at 10 m/s from a sloping surface. The angle \alpha=80 deg. Determine the range R. 2. Attached is the drawing. 3. Treat as 2 equations. x-direction Initial time t=0 Initial V_{x}=V_{0}Cos\theta a_{x}dv_{}x/dt = 0 V_{x}=Initial VCos\theta =...

I have made a program in Matlab to plot the path of a projectile with air resistance, however, I am lost as to how to obtain an equation for the range. I have found my displacements in the x and y direction by solving second order differential equations, it would be far too difficult to set the...

Hello, Trying to solve an equation about sonar range equation and can not end up with a feasible solution. The equation to be solved for x is as follows; 10*log10(x) + a*x = b Any idea/suggestion/solution will help a lot.

Help. My @#$&!& Made in China %*@$*%# flatscreen has died, forcing me to go back to my vanilla Trinitron 15" monitor. The old monitor is giving me a "Signal out of range" error when Windows XP is about to finish loading (which is about when the monitor settings are kicking in). Sooo, I...

Homework Statement Find the range of the function: y=(2cosx+1)/(2cosx-1) algebraically Homework Equations Reducing it, I obtained: y= tan(3x/2)/tan(x/2), but the discontinuity confuses me The Attempt at a Solution I did it with my calculator and this is the result: Ran =...

I've been reading my book on finding the range of a linear transformation but can't understand it. Let's say: T(x)=Ax then the range(T)=columnSpace(A), right? But I've gotten confused so much about columnspaces b/c I've read many books and websites that explain it differently from each other...

I don't understand this at all... Find the Range and Inverse of f(x) = square root of [(8x^2 +1)/ (9-5x^2)] I am so confused please help!

I'm having a bit of trouble grasping the domain and range of functions of 2 variables. Does anyone know of any helpful tutorials that will help me get the hang of this concept? Any help appreciated.

My colleagues and I are building a phase adjuster for LFN (Low Frequency Noise) audio signals. Since we would like to be able to adjust a range of signals that encompasses a range of around 50-400 Hz, an op amp-driven, analog solution would not be economical, nor efficient. Since we need to be...

Homework Statement find the range of sqrt(25-(x-2)^2) Homework Equations The Attempt at a Solution I found the inverse 2+sqrt(-x^2+25) then I found the domain to be [-5,5] and said that's the range of the original equation however when I graph the original equation the ys...

using \frac{v_0^2}{g_0}=R_{max} for this problem: You buy a toy dart gun and you want to calculate its Max Horizontal Range. You fire the gun straight upward and find that it takes 2.9 seconds for the dart to leave the barrel and then return to the barrel. Can this be done without the...

I've been assigned a relatively funky physics project, and the process of writing the algorithm for said project has completely stumped me. I have chosen to research the Oerlikon 20 mm auto-cannon, and have done all of my research and am at the point where I am supposed to write an...

how do you determine the maximum range w/o using the equation dx= v^2 sin2 feta/g because i need to design an experiment to figure out the maximum horizontal range of a frictionless, spherical ball

Hi. Could someone please tell me the Core 3 way of finding the range of f(x) = (2x - 3) / (x - 2). I have no idea how to draw the graph. Any help would be really appreciated. Thank you. Cathy

Rocket Force -- Max Range vs. Time Homework Statement "Assume an ICBM of maximum range 8000 km is fired at your city from a distance of 8000 km." 1) How much warning time will you have if the missile is first detected at its halfway point 2) How fast will the missile be traveling when...

Homework Statement A ball is kicked with initial speed 20 m/s and initial angle 40 degrees up an incline of angle 15 degrees. Assume that the ball leaves the ground a the base of the incline at x_{0}=0 and y_{0}=0. How far up the incline does the ball initially land (not how far horizontally...

Homework Statement Derive an expression for calculating the theoretical range of the ball in terms of y, g, theta, and v0. Homework Equations The Attempt at a Solution I've tried just about everything to figure this out. I started with the motion in the x-direction, and plugged...

I was just wondering if you could write a functions domain and range with a set? Would it be something like D: {x \epsilon \mathbb{R} | any condtitions} R: {f(x) \epsilon \mathbb{R} | any condtitions} for any function f(x)?

Homework Statement The acceleration due to gravity on the moon has a magnitude of 1.62m/s^2. Assume that the ball is kicked on the moon instead of on the earth. Find(a) the maximum height H and (b) the range that the ballwould attain on the moon. acceleration=1.62 m/s^2 H=? R=? Vy=0 m/s...

If I have 2 limit sensors set in a circular arc around a rotating servo motor, and the angle between them is 83°, approximately what is the angular range of motion that I can achieve? Please take into account, and let me know what clearances I need to be aware of (i.e. how many degrees clearance...

A projectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of projection? If I let A = maximum height (or h), than horizontal range (or R) = 3A. I suppose I can also substitute 1 for h and 3 for R. There is some...

So I'm selecting what pages I want printed and it's frustrating bc I can't seem to print more than like 8 pages. Any way to unlock this annoyance?

Which spans a greater temperature range, a change in temperature os 10 Fahrenheit degrees or a change in 10 Celcius degrees? Using 0 and 100 degrees C and 32 and 212F as references show that a change in 10 degrees Celsius gives a temperature range of 90 (100 – 10). A change in 10 F gives a...

I have a question. How does the size of the bulb (mercury) affect the range of the thermometer? I know that to increase the range, the bore size of the capillary tube should be large. Would the size of the bulb affect the range? If bulb is large - then there will be more mercury - so...

Find the domain & range of the function. 2x^2 + 4x - 3 I attempted to solved doing the following 2x^2 + 4x = 3 x^2 + 2x = 3/2 (divided by two) (x+1)^2 = 5/2 (completed the square & added one to both sides) (x+1)^2 - 5/2 = 0 So I put the range was (-5/2, infinity), but the book has...

I'm sorry for this, but what is the range and domain of the following function? y = 24 - 2x y has to be positive (y > 0) and x too (x > 0) How would you solve this? Do you just need a look and then be able to write it down? Or do you need to solve it with algebra? I've found that x can only...

Traced this down to an error in my formula as I'd copied it down; it's (sqrt(Voy^2 + 2gh)+Voy) / g, not (sqrt(Voy^2 + 2gh)-Voy) / g. Thanks though! [/color] Homework Statement A 0.57 kg projectile is fired into the air from a cliff that's 13.9 m above a valley. Initial velocity = 7.97...

Homework Statement Given a missile with 9500km range, what must its initial velocity be to travel that distance? Disregard issues introduced by the missile's boost phase, and state the velocity as km/h. (Presumably, the curvature of the planet is to be ignored, as well.) Homework...

Hey here is the question has a few parts to it. Let f(x)= (x-1)^1/2 and g(x)= 2x^2/x^2+1 a) State the domain and range of f using interval notation. b) State the domain and range of g using interval notation. (Hint: At x=0, g is 0. For x(cannot=0) it helps to write g(x)=2/1+1/x^2 and...

I don't understand what the range is about. Can someone please explain? Thanks in advance.

I need to know the maximum range in which a radio frequency identification device (RFID) can function. What is it limited by?

im trying to solve this excersice but i couldn't find any similar questions like this one find for which real x the series SIGMA x^n/1+x^2n converges and for which it diverges

Homework Statement A soccer player kicked a ball up at a 30-degree angle at 20 m/s. Find the hang time, max. height and horizontal range. Homework Equations x(sub y)=(1/2)at^2 + v(sub i sub y) Meaning... displacement = half of acceleration times time squared plus initial velocity in...

Hi guys...I am having big trouble finding the range of a function dependant on 2 variables. The function is D=X1-X2. R=|D| How do you find the range of R and D?Is the range of R from 0 to infinity and that of D from - infinity to infinity?

I have to program the range formula R= [Vo2sin(2*theta)]/g, into an Excel spredsheet. I need to progran the equation for various values of 'theta' to determine for which value(s) of 'thet' is the range maximum. Table should have left side Injection angle (degrees), right side Range (R). The...

Homework Statement Let f(x,y,z)=e^sqrt(z-5x^2-5y^2), find the domain and range of this function Homework Equations The Attempt at a Solution ok i know how to get the domain of the function: you can't take the sqrt of a negative number you set up the inequality z-5x^2-5y^2>= 0...