help Please!!!

- YumYum247

help Please!!!

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- YumYum247

##### 1 Attachment

- YumYum247

How do i create the data table to plot the velocity time graph?

- YumYum247

@Michele_Laino

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## More answers

- YumYum247

......for both the runner and the car?

- Michele_Laino

the velocity of the car is v=cost=4 m/sec
whereas the velocity of the runner is v=a*t=0.5*t

- YumYum247

ok what is "cost"?

- Michele_Laino

|dw:1438445437066:dw|

- Michele_Laino

"cost" stands for constant

- YumYum247

ok but how do i make the data table to plot the points on the graph. and how did you know the graph looks like this????

- Michele_Laino

since the function:
\[v = at\]
is represented by a line which passes at the origin, in the (t, v) plane

- YumYum247

i mean how did you make the graph without
T(sec) Velocity m/sec
0 0
1 some number
2 some number

- Michele_Laino

is the acceleration along of 20 seconds of time?

- YumYum247

i don't know!!! :(

- Michele_Laino

from your text I see that the runner accelerates for 20 seconds

- YumYum247

yah....!!!

- YumYum247

ok tell me how do i make the data table from velocity and average velocity???

- Michele_Laino

ok so the graph of this function:
\[v\left( t \right) = at = 0.5t\]
passes at point t=0, v=0 and passes at point t=20, v=0.5*20=10

- YumYum247

yes....!!!!

- YumYum247

i got that....

- YumYum247

how do i figure out how far the runner will be in 1,2,3,4,5,6,7,8,9,10,11,12,13,14-20 secods

- Michele_Laino

whereas the velocity of the car is constant
the function
v=4, is represented by the subsequent line:
|dw:1438446099431:dw|

- YumYum247

ok so that car will cover 4 meters every second...got that.

- Michele_Laino

yes!

- YumYum247

what about the runner tho :(

- Michele_Laino

the space traveled by the runner, is given by the subsequent formula:
\[\Large s\left( t \right) = \frac{1}{2}a{t^2}\]

- YumYum247

i want to make a proper data table for both the car and the runner and plot those point on to the graph so it looks pretty neat.

- YumYum247

what does "s" stand for?

- Michele_Laino

"s(t)" stands for space as function of time

- YumYum247

never learned about that in physics.. so can i use that formula to figure out the velocity of the runner at any given time???

- Michele_Laino

in order to make a table, you have to consider these times:
t=1
t=2
t=3
t=4
t=5
...
t=20
and compute the corresponding spaces, using this formula:
\[\Large s\left( t \right) = \frac{1}{2}a{t^2} = \frac{1}{2} \times 0.5{t^2} = \frac{{{t^2}}}{4}\]

- Michele_Laino

that is the graph for runner.
In order to make a table for car, you have to consider the same times, namely:
=1
t=2
t=3
t=4
t=5
...
t=20
and then you have to compute the distance using the subsequent formula:
\[\Large s\left( t \right) = 4t\]

- YumYum247

so what does s(t) = 4t means tho???

- Michele_Laino

s(t)=4t, it is the space traveled by the car at time t

- YumYum247

so 4 meters?

- Michele_Laino

no, it is:
4*t where t is the time

- Michele_Laino

for example, at t=2, we have:
\[s\left( 2 \right) = 4 \times 2 = 8\]

- YumYum247

yah but at 1 second, the runner covered 4meters right since 4X1sec = 4m?????

- Michele_Laino

the car travelled 4*1= 4 meters, whereas the runner travelled 1/4= 0.25 meters

- YumYum247

ok so the example that you gave me a second ago was for whome, the runner or the car.....???? car?

- YumYum247

ok let me try and i'll get back to you......Thank you and bless you!!! :)

- Michele_Laino

more explanation:
\[\Large \begin{gathered}
spac{e_{car}} = 4 \times t \hfill \\
\hfill \\
spac{e_{runner}} = \frac{{{t^2}}}{4} \hfill \\
\end{gathered} \]

- YumYum247

ok i got it...Thanks make gotta wite the formula down.... Peace :)

- Michele_Laino

:)

- YumYum247

:)

- YumYum247

ok i didn't quite get this.....Space runner = t^2/4
because i'm not getting the same number here....|dw:1438459291397:dw|

- YumYum247

@Michele_Laino

- YumYum247

oh never mind now i see that......i thought you wrote something else.... Cheers!!!!

- YumYum247

buddy there is something wrong here, the runner reaches a velocity of 100m/sec in 20 sec.....doesn't sound right to me

- YumYum247

the answer key suggest 10m/sec at 20 sec.

- YumYum247

@Elsa213 help plz

- YumYum247

@sweetburger

- YumYum247

i need to know how do i make data-table from average velocity in m/sec2

- YumYum247

@nincompoop

- YumYum247

@nincompoop

- nincompoop

you were given the information already

- YumYum247

i want to know how do i make a data table of average velocity.......

- nincompoop

|dw:1438452273488:dw|

- nincompoop

i keep telling you, your AVERAGE VELOCITY IS your slope

- YumYum247

but how do i know how far will the runner be in let's say 7 sec????

- nincompoop

|dw:1438452404287:dw|

- nincompoop

that is the point when you actually SOLVE it :)

- YumYum247

yes yes yes!!! :D

- nincompoop

Mary Jesus, Joseph, Muhammad

- YumYum247

the car is no problem, it's going at 4m/sec

- nincompoop

and?

- nincompoop

what does that mean

- YumYum247

i can figure out how far the car will be at any given time but i'm not so sure about the runner tho???

- nincompoop

what does 4m/s mean?
that means that your distance is 4 meters per 1 sec
so in your plot for 1 sec you put distance at 4

- YumYum247

ok let me ask you a question.....how far will the runner be in 7 seconds????

- nincompoop

that is when you solve it
do you know that acceleration is the change in VELOCITY/time ?

- YumYum247

it means the car is convering 4meters every sec. so o nthe velocity time graph it's just be a flat straight line

- YumYum247

|dw:1438452675130:dw|

- YumYum247

so acceleration = Velocity/time

- YumYum247

|dw:1438452731926:dw|

- YumYum247

so by 20 sec, the runner have covered 0.025m????what??????????

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