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Maximum height of a projectile

  1. Feb 3, 2005 #1
    Prove that the maximum height of a projectile H, divided by the range of the projectile, R, satisfies the relation H/R = 1/4 tan.


    I have no idea how to do this
     
  2. jcsd
  3. Feb 3, 2005 #2
    Why dont you start by figuring out what happens to a projectile at its max heights and then find a mathematical relationship for that. Then do the same for the range, and see what you can come up with.
     
  4. Feb 3, 2005 #3
    what happens to a projectile at its max heights ?????????
     
  5. Feb 3, 2005 #4

    learningphysics

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    Homework Helper

    Calculate the height in terms of v which is the speed, and theta which is the angle.

    Calculate the range in terms of v and theta.

    Take the ratio, and the result follows.

    To get the range and height... begin by writing the 2 kinematics equations (that give horizontal and vertical displacement for any time)
     
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