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Since this definition does not specify velocity, it also applies to objects initially moving upward (which is the case with our arrow that was shot upward).

Free fall was demonstrated on the moon by astronaut David Scott on August 2, 1971. He simultaneously released a hammer and a feather from the same heightabove the moon's surface. The hammer and the feather both fell at the same rate and hit the ground at the same time. This demonstrated Galileo's discovery thatin the absence of air resistance, all objects experience the same acceleration due to gravity.

By the way, it is no accident that the value shown for acceleration in Figure 4 matches the value specified for the acceleration of gravity near the beginning of the code in Listing 3 .

Analysis of the code

The code in Listing 3 is very similar to the code in Listing 2 with the addition of the code necessary to estimate the acceleration values on the basisof the slope of the velocity curve.

The code that estimates the acceleration in Listing 3 is so similar to the code that estimates the velocity in Listing 2 that I won't bore you by explaining the code in detail.

However, there is one bit of new code that is worthy of note. Without going into detail as to the reasons why, this procedure is incapable of accuratelyestimating the slope of the velocity curve during the first two time intervals. Therefore, an if statement was written into the while loop to force the acceleration estimate to be zero for the first two timeintervals.

Acceleration of gravity exercise #2

In the previous exercises, the arrow was shot straight up in the air. However, that is rarely the case. Normally, an arrow is shot in an attempt to strike a targetsome horizontal distance away.

A more realistic scenario

Let's modify our scenario such that the archer shoots the arrow with an initial velocity of 100 feet per second at an angle of45 degrees relative to the horizontal axis. We will compute and plot the horizontal and vertical position of the arrow at uniform increments in time from thebeginning to the end of its trajectory.

Motion of a projectile with uniform acceleration

The following equation describes the straight-line motion of a projectile with uniform acceleration .

d = v0*t +0.5*a*t^2


  • d is distance in units of distance
  • v0 is the initial velocity in units of distance/time
  • t is time in units of time
  • a is acceleration in units of distance/time^2

As usual, the units for distance, time, velocity, and acceleration must be consistent with one another.

Shooting the arrow straight up

If we shoot an arrow straight up, as was the case in the previous exercises, the initial velocity doesn't have a horizontal component. Instead, the initialvelocity has only a vertical component and the corresponding motion of the arrow has only a vertical component. In other words, the arrow goes straight up and it comesdown in the same spot.

Shooting the arrow other than straight up

However, if we shoot the arrow in a direction other than straight up or straight down, the initial velocity has both a vertical component and ahorizontal component. Therefore, the resulting motion has both a vertical component and a horizontal component.

Questions & Answers

Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket 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?
I'm interested in nanotube
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
I'm interested in Nanotube
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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