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Plot height versus time

Use your graph board and about 30 pushpins to plot the height of the arrow on the vertical axis versus time on the horizontal axis. Because of the largenumber of points, you shouldn't need to connect the pins to get a good feel for the shape of the graph. Plot one point each 0.25 seconds. Allow for amaximum time value of about 7 seconds and a maximum height value of about 165 feet.

Tactile graphics

The svg file named Phy1080a1 contains a graph that serves for this exercise plus the next couple of exercises. This graph plots the height of the arrow, thevelocity of the arrow, and the acceleration of the arrow versus time from the time that it is released until it strikes the ground approximately six secondslater.

The image contained in this file is shown in Figure 1 for the benefit of your assistant who will manually emboss the diagram. Note that as usual, this is a mirror image of the image that is to be presented to the student afterembossing. A non-mirror-image version is shown in Figure 2 .

Figure 1 . Mirror image contained in the file named Phy1080a1.svg.
Missing image.
Figure 2 . Non-mirror-image contained in the file named Phy1080a1.svg.
Missing image.

Key-value pairs

The table of key-value pairs for this file is provided in Figure 3 .

Figure 3 . Key-value pairs for the image in Phy1080a1.svg.
m: Height, velocity, and acceleration versus time. n: 150o: 100 p: 50q: 0 r: -50s: -100 t: Height in feetu: Velocity in feet per second v: Time in secondsw: 0 x: 6y: Acceleration in feet per second per second z: File: Phy1080a1.svg

Create a script

Please copy the code shown in Listing 1 into an html file and open the file in your browser.

Listing 1 . Variable velocity exercise #1.
<!---------------- File JavaScript01.html ---------------------><html><body><script language="JavaScript1.3">document.write("Start Script</br>"); //Declare and initialize constantsvar g = -32.2;//acceleration of gravity in ft/(sec*sec) var v0 = 100;//initial velocity in ft/secvar h0 = 6;//initial height in feet var tInc = 0.25;//calculation interval in seconds//Declare and initialize working variables var t = .0001;//current time in secondsvar h = h0;//current height in feet //The following variable is used to insert spaces in// the output display. var sp = "&nbsp;&nbsp;&nbsp;&nbsp;" //Compute and display various values for as long as the// height of the projectile is above the ground. while(h>0){ //This is the general equation for the height of a// projectile under the influence of gravity in a // vacuum.h = h0 + v0*t +0.5*g*t*t; //Display the information for this iterationdocument.write( "t = " + t.toFixed(2) + " seconds" + sp +" h = " + h.toFixed(1) + " feet" + sp + "</br>"); //Increment the time for the next iteration.t = t + tInc; }//end while loopdocument.write("End Script");</script></body></html>

Screen output

The text shown in Figure 4 should appear in your browser window when you open the html file in your browser.

Figure 4 . Screen output for Listing #1.
Start Script t = 0.00 seconds h = 6.0 feett = 0.25 seconds h = 30.0 feet t = 0.50 seconds h = 52.0 feett = 0.75 seconds h = 72.0 feet t = 1.00 seconds h = 89.9 feett = 1.25 seconds h = 105.8 feet t = 1.50 seconds h = 119.8 feett = 1.75 seconds h = 131.7 feet t = 2.00 seconds h = 141.6 feett = 2.25 seconds h = 149.5 feet t = 2.50 seconds h = 155.4 feett = 2.75 seconds h = 159.2 feet t = 3.00 seconds h = 161.1 feett = 3.25 seconds h = 160.9 feet t = 3.50 seconds h = 158.8 feett = 3.75 seconds h = 154.6 feet t = 4.00 seconds h = 148.4 feett = 4.25 seconds h = 140.2 feet t = 4.50 seconds h = 130.0 feett = 4.75 seconds h = 117.7 feet t = 5.00 seconds h = 103.5 feett = 5.25 seconds h = 87.2 feet t = 5.50 seconds h = 69.0 feett = 5.75 seconds h = 48.7 feet t = 6.00 seconds h = 26.4 feett = 6.25 seconds h = 2.1 feet t = 6.50 seconds h = -24.2 feetEnd Script

Questions & Answers

can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
I'm not sure why it wrote it the other way
I got X =-6
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
Commplementary angles
Idrissa Reply
im all ears I need to learn
right! what he said ⤴⤴⤴
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
is it 3×y ?
Joan Reply
J, combine like terms 7x-4y
Bridget Reply
im not good at math so would this help me
Rachael Reply
I'm not good at math so would you help me
what is the problem that i will help you to self with?
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
what is system testing
what is the application of nanotechnology?
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
anybody can imagine what will be happen after 100 years from now in nano tech world
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
not now but maybe in future only AgNP maybe any other nanomaterials
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Accessible physics concepts for blind students. OpenStax CNX. Oct 02, 2015 Download for free at https://legacy.cnx.org/content/col11294/1.36
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