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Math Help - Calculating time taken when given an acceleration rate to consider

  1. #1
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    Calculating time taken when given an acceleration rate to consider

    Hi,

    I have a problem where I need to calculate how long it will take to get to a certain fix when given these factors:

    Original speed
    Acceleration rate per second
    Target speed
    Distance

    For example if I need to get somewhere which is 100 miles away and my current speed is 50mph and target speed is 100mph and the acceleration speed is 10m per second...

    Does anybody have an idea of a solution to solve this problem in a neat formula.. If not neat then solve it full stop.

    Thanks in advance
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  2. #2
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    Quote Originally Posted by JoeSaddigh View Post
    Hi,

    I have a problem where I need to calculate how long it will take to get to a certain fix when given these factors:

    Original speed
    Acceleration rate per second
    Target speed
    Distance

    For example if I need to get somewhere which is 100 miles away and my current speed is 50mph and target speed is 100mph and the acceleration speed is 10m per second...

    Does anybody have an idea of a solution to solve this problem in a neat formula.. If not neat then solve it full stop.

    Thanks in advance
    does that mean you pass the 100miles at 100mph or your final speed at the 100miles = 0 ?
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  3. #3
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    You pass the final at 100mph you do not need to slow down.

    Thanks
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  4. #4
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    Quote Originally Posted by JoeSaddigh View Post
    Hi,

    I have a problem where I need to calculate how long it will take to get to a certain fix when given these factors:

    Original speed
    Acceleration rate per second
    Target speed
    Distance

    For example if I need to get somewhere which is 100 miles away and my current speed is 50mph and target speed is 100mph and the acceleration speed is 10m per second...

    Does anybody have an idea of a solution to solve this problem in a neat formula.. If not neat then solve it full stop.

    Thanks in advance
    the car would reach 100mph before it reaches the distance of 100miles with an acceleration of 10m/s.

    there are six equations you could use:

    where v=final velocity
    u=inital velocity
    t=time
    s=displacement
    a=acceleration.
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