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Trajectory for a runner aiming to a fixed point, with initial velocity?

  1. Aug 21, 2008 #1
    Hello,

    I want to know how long time a running runner needs to reach a point, when he is initially running in the wrong direction.

    I'd like to do this with minimal calculation, so an approximation at 10% would be enough.

    To even complicate the problem more, the runner can decelerate faster than accelerate.

    data used :
    - initial velocity
    - initial position
    - target position
    - acceleration
    - deceleration
    - maximal velocity

    The runner will always accelerate in the direction of the target position, and hopefully he won't run fast enough to enter in orbit around it... ;)

    I tried to look for a solution on Google & these forums, but after more than 20 min still found nothing (especially coz I'm not sure of the right keywords to use :-S )

    Thanks in advance for any help..! :)
     
  2. jcsd
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