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Throwing an object over the fence

  1. Jul 11, 2011 #1
    1. The problem statement, all variables and given/known data
    I need to throw an Object over a fence at a destinationPoint reached in a given time

    startPointX=0
    startPointY=0.4
    destpointX=25
    destpointY=0
    time=3
    fence height=1
    fence posX = 10

    3. The attempt at a solution
    I decided to split up the problem in two components X,Y

    initialSpeedX=(destPointX-startPointX) / time

    giving the formula of a falling body:
    distance = 1/2 × gravity × time^2 + intialspeedY × time

    initialSpeedY=((destPointy - startPointy) - (0.5 * gravity * (time* time))) / time

    now if I throw the object at an initial velocity of (initialSpeedX,initialSpeedY) it will hit the destpoint in the given time.

    now I can calculate if the object at a certain time will hit the fence

    timeToReachTheNet = (fencePosX-startPointX) / ((destPointX-startPointx) / Time)
    fenceHitHeight = startPointy+( (gravity * (timeToReachTheNet^2) + 2 * initialSpeedY* timeToReachTheNet ) / 2);

    if the fenceHitHeight is less than 1 it will hit the fence.

    now, if the object hit the fence, how can I find the initialSpeedY so it will reach at least 1mt of height and cross the fence?

    it seems that a simple equation is not enough... uhm..

    maybe I could find the right equation to directly without the fence hit test..but this is the only method I know :(
     
  2. jcsd
  3. Jul 11, 2011 #2

    rl.bhat

    User Avatar
    Homework Helper

    You have found initial speed x and initial speed y.
    Now tanθ = (initial speed y) / (initial speed y)
    Using kinematic equation, you can see that
    yf = yi + x*tanθ - 1/2*g*x^2/(v^2*co^2θ)

    = yi + x*tan(θ) - 1/2*g*x^2*sec^2(θ)/(v^2)
    Put sec^2(θ) = 1 + tan^2(θ) and solve the quadratics to find tanθ.
     
  4. Jul 11, 2011 #3
    really hard for me...I'm just a programmer :(
    could you be go into details a little more?

    would it require much time for you to write the final formula to calculate the initial velocity to make the object reach a destination point, crossing a fence?

    I'm not able to do all the calculations required :(
     
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