Tutorial : Kinematics Problem 1

Tutorial — By on July 25, 2008 at 12:00 AM

An object accelerates from rest with constant acceleration and covers a distance of x at t = 4 and covers a distance of y at t = 6. Find x:y.

Note that this question was taken from the National Physics Quiz 2007. I got a ratio of 4:9 while the answer states that it should be 9:13. Now, do it for yourself. What do you get? Click the spoiler below to view how I got a 4 : 9.

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Now, if anyone could show me by the means of mathematical working why x:y is 9:13 and not 4:9, please post your working below. I would like to learn too. Heh.

Here’s another brainteaser. If ds/dt is velocity and dv/dt is acceleration, what is da/dt?

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Last 5 posts by Christopher

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    10 Comments

  • JY says:

    u=0 t=4 and 6
    Assuming acceleration = 10ms²

    Only equation that can be used is s=ut + 1/2at²

    For t=4

    s=(0)(4)+1/2 (10)(4)²
    =1/2 (160)
    =80m

    t=6

    s= (0)(6)+1/2(10)(6)²
    = 1/2 (360)
    = 180

    Ratio = 80 : 180
    = 4 : 9

    Hmm.. Got the same answer as well. Will asked teacher for the solution.
    I can’t understand why da/dt is jerk though.

  • Kok Kuan says:

    Wow, it looks simple but it is a tough question. Hey Chris, do the question stated that the friction and inertia are neglected? And is it moving horizontally? Cause it will make some different:)

  • Christopher says:

    Kok Kuan, this is form 4 and 5 physics level.
    On the other hand, the question only provided the information I have typed out.

    JY, da/dt = jerk. The rate of change of acceleration against time is called jerk.

  • Kok Kuan says:

    oo..haha..pai sie man..then i have no idea to get the answer adi:)

  • penny_aries says:

    Hmm…
    I got 4:9 no matter how I do it.
    Unless it’s y:x+y, or else I don’t know how to get a 9:13. =)

  • Christopher says:

    Maybe it was intended to be y : x+y and they made a mistake in the question.. haha~

  • alexandra says:

    Ladida, tell me when you’ve figured it out, k?
    I got 4:9 ratio as well. But you don’t have to assume that a is anything :) in fact, it’s better not to.

  • Christopher says:

    No need to think that much lah.
    Asked my lecturer, he also agreed to the 4:9.

  • andar909 says:

    hi, andar here, i just read your post. i like very much. agree to you, sir.

  • Christopher says:

    Thanks for your comments =]

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