If an object is dropped from a height, its downward speed theoretically increases
linearly over time because the object is subject to the steady pull of gravity. Here
are observational data on the speed of a ball dropped from a certain height at time
x = 0:
Time (seconds) X 0 0.2 0.4 0.6 0.8
Speed (m/sec) Y 0 1.92 3.58 6.01 7.88

Question

If an object is dropped from a height, its downward speed theoretically increases
linearly over time because the object is subject to the steady pull of gravity. Here
are observational data on the speed of a ball dropped from a certain height at time
x = 0:
Time (seconds) X 0 0.2 0.4 0.6 0.8
Speed (m/sec) Y 0 1.92 3.58 6.01 7.88

howard-wolowitz · Answer

@Michele_Laino  my new tab for the question and the ones i did

howard-wolowitz · Answer

For number 10 heres my answer:

mathmale · Answer

Wait a sec, please.  What's the objective of your question?  I don't see one.

howard-wolowitz · Answer

I dont understand what you mean?

michele_laino · Answer

It is simple, if I add the experimental points to the graph of the line of best fit, I get this drawing:

howard-wolowitz · Answer

The objective is for me to solve my three remaning home-work problems

michele_laino · Answer

I think that, answer to question #10, is wrong, since you have to draw the experimental points only

howard-wolowitz · Answer

question is aasking for the scatterplot i thought

michele_laino · Answer

yes! and a scatterplot is a plot of experimental points

howard-wolowitz · Answer

i didnt mean that, I meant to say that your saying that your scatter plot works for question 10 and 12

michele_laino · Answer

no, please my plot is the answer to question #12 only.
If from such plot you delete the straight line, then you get the corresponding scatter plot, which is the answer to question #10

michele_laino · Answer

here is the scatter plot:

howard-wolowitz · Answer

ok I understand, so we just had to delete the line basically?

michele_laino · Answer

yes!

howard-wolowitz · Answer

oHHHH ok i wsa confusing myself

howard-wolowitz · Answer

Now, for question can we please take it step by step because I know we alredy did it but i was confused then

michele_laino · Answer

we can write these steps:
1) making a scatter plot
2) conjecturing of the linear relation $v(t)=At+B$ and therefore, using the least square method, computing the values of both constants $A,\;B$
3) updating the scatter plot from point 1), adding the straight line of best fit from point 2)

howard-wolowitz · Answer

ok thank you for helping me I tihnk i understand the three question now

michele_laino · Answer

:)

howard-wolowitz · Answer

ok thank you for helping me I tihnk i understand the three question now