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PS Question - Car overtaking truck

Discussion in 'MCAT Study Question Q&A' started by pacer, Sep 6, 2014.

  1. pacer

    2+ Year Member

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    A car accelerates at 6 m/s^2 starting from rest. At the same time, a truck travelling at 21 m/s passes the car. How long will it take for the car to overtake the truck?

    I am confused about how to set up the formulas for this type of question.
     
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  3. labqi

    5+ Year Member

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    I think you do it as follows
    Car d=vot + 0.5at2
    Truck d=vt

    Since they travel the same distance d is equal for both then
    vot + 0.5at2 = vt

    I am not sure but that's how I would approach. Please correct me if in wrong.


    Sent from my iPhone using Tapatalk
     
    BreakneckWalrus likes this.
  4. justadream

    7+ Year Member

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    Distance traveled by car = distance traveled by truck

    Distance traveled by car = .5 *a * t^2 = .5*6 * t^2 = 3t^2

    Distance traveled by truck = 21t

    3t^2 = 21t
    t = 21/3

    It will take 21/3 seconds.

    Plug back into either equation to find distance at this point.
    Distance = 21t = 21*(21/3) = 147
     

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