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Math Help - HELP ME!!

  1. #1
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    HELP ME!!

    so i want to know if anyone can help me with this one:
    A car and a motorcycle start at rest and 1000 m apart start toward each other at the same time on a level track. tf the car accelerates at an uniform rate of 3.70 m/s^2 and the motorcycle accelerates at an uniform rate of 4.4 m/s^2. at which position will they pass each other relative to the cars starting point.
    i will be so thank full if one help me with this one.
    thanks
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  2. #2
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    Quote Originally Posted by Lilian Julissa View Post
    so i want to know if anyone can help me with this one:
    A car and a motorcycle start at rest and 1000 m apart start toward each other at the same time on a level track. tf the car accelerates at an uniform rate of 3.70 m/s^2 and the motorcycle accelerates at an uniform rate of 4.4 m/s^2. at which position will they pass each other relative to the cars starting point.
    i will be so thank full if one help me with this one.
    thanks
    Measure position from the car:

    Car: u = 0 m/s, a = 3.7 m/s^2, t = t, s = x.

    x = \frac{1}{2} (3.7)t^2 \Rightarrow t^2 = \frac{2x}{3.7} .... (1)


    Motorcycle: u = 0 m/s, a = 4.4 m/s^2, t = t, s = 1000 - x.

    x = \frac{1}{2} (4.4)t^2 \Rightarrow t^2 = \frac{2(1000 - x)}{4.4} .... (2)

    Equate equations (1) and (2) and solve for x.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    Measure position from the car:

    Car: u = 0 m/s, a = 3.7 m/s^2, t = t, s = x.

    x = \frac{1}{2} (3.7)t^2 \Rightarrow t^2 = \frac{2x}{3.7} .... (1)


    Motorcycle: u = 0 m/s, a = 4.4 m/s^2, t = t, s = 1000 - x.

    x = \frac{1}{2} (4.4)t^2 \Rightarrow t^2 = \frac{2(1000 - x)}{4.4} .... (2)

    Equate equations (1) and (2) and solve for x.
    Could you please finish it i don't know how to do it i undestand were u got all that but i can't finish thanks for responding
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  4. #4
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    Quote Originally Posted by Lilian Julissa View Post
    Could you please finish it i don't know how to do it i undestand were u got all that but i can't finish thanks for responding
    You should be the one to finish it .....

    Solve the linear equation \frac{2x}{3.7} = \frac{2(1000-x)}{4.4} for x.

    Show your working if you get stuck. You might need to go back and review solving linear equations.
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