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Predicting Collisions of 2 objects

  1. Apr 10, 2012 #1
    Predicting Collisions of 2 objects (EDITED)

    1. The problem statement, all variables and given/known data
    Object 1 is at the origin. Object 2 is currently at 10 meters east and 20 meters north(10, 20) moving directly north at 30m/s . If Object 1 is moving at 70m/s, at what angle would Object 1 have to travel in order to collide with Object 2. Approximately where would they intersect?


    2. Relevant equations
    I believe it you could use a system of equations.
    mx+b = mx + b

    To be honest with you it has been a while since i have taken physics and i dont really think we covered this type of scenario. This isnt my homework but it is vital that i know how to do this kind of problem because it relates to a video game that i am making.



    3. The attempt at a solution
    I have no clue where to begin in finding the direction.

    I thought you would be able to solve a system of equations to find the coordinates so that

    ycollision = m1x1+y1-m2x2

    I would also use the same method to find the x coordinate. However, i dont know how to calculate m1 since the slope would also require a direction, which i do not know how to find..
     
    Last edited: Apr 10, 2012
  2. jcsd
  3. Apr 10, 2012 #2

    gneill

    User Avatar

    Staff: Mentor

    Re: Predicting Collisions of 2 objects (EDITED)

    Object 2 travels a known straight line and so you should be able to write parametric equations for its x and y coordinates with respect to time (that is, two equations: x2(t) and y2(t)).

    For object 1 since you know the speed and not the angle, it could (theoretically) be located at any point on the circumference of a circle whose radius is a function of time as determined by its fixed speed. If you confine yourself to the upper half-circle, you should be able to write an expression that relates the possible values of x1 and y1 to the radius (think Pythagoras).

    Can you write the equations?
     
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