Speed VS Time to Position VS Time

AI Thread Summary
To convert a speed vs. time graph of an airplane taking off into a position vs. time graph, it is essential to first ensure all quantities are in a consistent unit system, preferably SI units. The relationship between speed and displacement is key; displacement can be calculated by integrating speed over time. Users are advised to calculate displacement values at specific time intervals and plot these to form a parabolic curve. There is confusion regarding unit conversions, particularly converting speed from miles per hour to meters per second, which requires multiplying by appropriate conversion factors. Understanding these concepts will facilitate the creation of an accurate position vs. time graph.
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Homework Statement


Convert this Speed vs Time graph of an airplane taking off into a Position vs Time Graph.
SvT.jpg

Homework Equations


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The Attempt at a Solution


Don't know where to begin... Please help! I have Graph paper and will make the PvT graph on there. I am only in 8th grade and know barely any Physics.
 
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wheres the image?
 
The legend said:
wheres the image?

Sorry, It's here now!
 
first thing bring both qtys into SI or any particular system you want.(careful about the units) .

now think geometry and graphs
what is the relation between displacement and speed. How can you relate the quantities given and get displacement(which is as good as position starting from origin in this case).

Get values of displacement for t=1,2,3 and so on and plot them on your graph.
you should get a curvy(parabolic) figure.
 
The legend said:
first thing bring both qtys into SI or any particular system you want.(careful about the units) .

now think geometry and graphs
what is the relation between displacement and speed. How can you relate the quantities given and get displacement(which is as good as position starting from origin in this case).

Get values of displacement for t=1,2,3 and so on and plot them on your graph.
you should get a curvy(parabolic) figure.
SI? What's that?
 
ah just a system of units for measuring...
http://en.wikipedia.org/wiki/International_System_of_Units

Name Unit symbol
metre m length
kilogram kg mass m
second s time tThe above will be important for you. convert the speed into miles/seconds(or meter/second if you wish) which originally in miles/hour.

Then solve..
 
The speed to miles per second... so would i just multiply the speed by 60²? And after doing that, how would I change the speed to position? Would I divide the time by the speed to get it?
 
I'm actually now thinking I should divide by 60²
 

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