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Exercise #2 for a man on a train

A man is walking in a passenger car of a train that is moving at 1 mile per hour toward the northeast (45 degrees). The man is walking in the opposite direction than the train is moving at 2.933 feet per second. (Thismeans that the angle for the man's velocity vector is 225 degrees.)

What is the man's velocity with reference to the ground?

Another vector diagram for a man on a train

Figure 6 shows another vector diagram for a man on a train. Once again, theunits for both velocity vectors must be the same. Therefore, the length of the velocity vector for the man is based on a conversion from 2.933 feet persecond to 2 miles per hour.

Figure 6 - Another vector diagram for a man on a train.

Missing image.

Make a new html file

Please copy the code from the previous exercise into a new html file, make the changes described below, and open the html file in your browser.

  • Change the value of vecTrainAng from 0 to 45.
  • Change the value of vecManAng from 0 to 225.

(Because of the small differences between this script and the previous script, I won't publish a copy of this new script here.)

Screen output

The text shown in Figure 7 should appear in your browser window when you open the file in your browser.

Figure 7 . Screen output for Exercise #2 for a man on a train.
Start Script Velocity magnitude = 1.00 miles/hourVelocity angle = 225.00 degrees End Script

Analysis of the results

The man and the train are still moving along the same straight line even though the angle is no longer 0. Therefore, the magnitudes of the two vectorsstill add algebraically. In this case, however, the man and the train are moving in opposite directions, so they are no longer additive.

The man has a greater velocity magnitude

The magnitude of the man's velocity in the direction of 225 degrees is greater than the magnitude of the train's velocity in the opposite directionof 45 degrees.

As you can see from Figure 7 , the man's velocity with reference to the ground is 1 mile per hour at an angle of 225 degrees. This means that an observer standing on theground at a point on a line perpendicular to the train would perceive the man to be moving to the left at 1 mile per hour (assuming that the train is moving to the right).

An exercise with three vectors in a plane

Now we are going to take a look at an exercise involving three vectors in a plane, which are not in a line.

An aircraft carrier is steaming east with a uniform velocity of 2 milesper hour relative to the ground beneath the ocean. A large platform on the deck is sliding northeast with a uniform velocity of 2 miles per hour relative to the ship. A man is walking north on the platform with auniform velocity of 2 miles per hour relative to the platform.

What is the velocity of the platform with reference to the ground below the ocean?

What is the velocity of the man with reference to the ground below the ocean?

Vector diagram for man on aircraft carrier

Figure 8 shows a vector diagram for the man on the aircraft carrier.

Figure 8 - Vector diagram for man on aircraft carrier.

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
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.
Do you know which machine is used to that process?
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
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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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