physics

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we had to watch an animation which showed two balls, each traveling on a straight horizontal line at different speeds.
the graph of position vs time and velocity vs time are given.

The red ball has a linear graph and the coordinates are (0,0), (1,5), (2,10), (3,15), and (4,20)

for the blue ball:(0,0), (1,1), (2,2.5), (3,4.5), (4,7)

it is asked:

If the motion was allowed to continue the blue (lower) ball would reach the finish line (20m) at some time Δt after the red ball. What is Δt?

i though that it would take the blue ball around 9 seconds to reach the finish line,but I don't think this is right

thanks!

  • physics -

    here is the graph given can be seen if you search

    "constant velocity versus constant acceleration" on google- its the first link

  • physics -

    Sam, The response to
    "physics - sam, Thursday, May 28, 2009 at 11:43pm"
    had been posted last night, even with a suggested correction that you have made this morning.
    Would you like to check back before we continue?

  • physics -

    physics - PC, Friday, May 29, 2009 at 12:18am
    Here is a copy of the previous response.

    > (0,0), (1,1), (2,2.5), (3,5), (4,7)
    Could you check the data for the blue ball to see if it is not:
    (0,0), (1,1), (2,2.5), **(3,4.5)**, (4,7)

    If that's the case, you will find that the function of the blue ball is
    y=f(x)=(x^2+3x)/4
    in which case you can easily solve for
    f(x)=20

  • physics -

    I did that, and the answer came out to be 10.57, which isn't right.
    I wasn't sure if a picture of it would help at all?

  • physics -

    I have uploaded a graph but I am unable to show the link as I do not have privileges to do so. Sorry.

  • physics -

    The answer is the solution to the equation

    (x^2+3x)/4=20

    Do you have difficulties finding the solution to the above equations?

  • physics -

    Hello Sam, here'is the link to the graph you requested:
    http://i263.photobucket.com/albums/ii157/mathmate/parabola.png

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