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Math Help - Another SUVAT Question

  1. #1
    Junior Member Mist's Avatar
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    Another SUVAT Question

    A particle Pis moving on the x-axis with constant decleration 4ms-2. At time t=0, P passes through the origin O with velocity 14ms-1 in the positive direction. The point A lies on the axis and OA=22.5. Find a) the differance between the times when P passes through A, b)The total distance travelled by P during the intervals between the lines.

    I was able to answer the first half of the question but I got stuck in the middle of it. I reached till 0=-4t^2+28t-50. I used the quadratic formula but I got the wrong answer and I can't figure a way to factorise it.

    Any help?
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  2. #2
    Senior Member
    Joined
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    Quote Originally Posted by Mist View Post
    A particle Pis moving on the x-axis with constant decleration 4ms-2. At time t=0, P passes through the origin O with velocity 14ms-1 in the positive direction. The point A lies on the axis and OA=22.5. Find a) the differance between the times when P passes through A, b)The total distance travelled by P during the intervals between the lines.

    I was able to answer the first half of the question but I got stuck in the middle of it. I reached till 0=-4t^2+28t-50. I used the quadratic formula but I got the wrong answer and I can't figure a way to factorise it.

    Any help?
    a) using s=ut+0.5at^2

    x=14t-0.5(4)t^2

    solve.

    t=9/2 or 5/2

    <br />
difference = 9/2 - 5/2 = 2s<br />

    b) using  v=u+at<br />

    v=-4t+14

    -14=-4t (v=0)

    t=3.5s

    sub into the equation.

    x=14t-0.5(4)t^2

    x=14(3.5)-0.5(4)(3.5)^2

    x=24.5*2<br />
 =49m

    For this question, im assuming the distance from O->A then A->O.

    Hope this helps!
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