Physics

I failure to find an observation related to motion in two dimension projectile motion.
Prove That/Show that
maximum range =4Height
or
Rmax=4H

please help me thanks Ahsan Khan

  1. 👍 0
  2. 👎 0
  3. 👁 148
  1. Professor Hu did it here. Take his derivation for max range, and height, and show that Rmax=4H

    www-hep.uta.edu/~yu/teaching/summer08-1441-001/lectures/phys1441-summer08-060308.ppt -

  2. That link did not work
    vertical v = Vo - gt
    at the top, H, v = 0
    so
    t = Vo/g
    then H = Vo t - .5 g t^2
    H = Vo^2/g -.5 Vo^2/g = .5 Vo^2/g
    that t is time to the top, H, which is half the total time in the air
    u = Uo constant horizontal speed
    R = range = Uo *2t = 2 Uo t = 2 UoVo/g
    so
    H/R = .5Vo/2 Uo = (1/4) Vo/Uo
    I suspect that you class has already done the angle for maximum range is 45 degrees above horizontal where Vo = Uo
    so
    H/R = 1/4

    1. 👍 0
    2. 👎 0
    posted by Damon
  3. Anyway in case you have not done it, for speed S and elevation angle T:
    Uo = s cos T
    Vo = s sin T
    for max height
    t = (s/g) sin T like before
    R = 2 Uo t = 2 s cos T (s/g )sin T
    for max
    dR/dT = 0
    (2 s^2/g)(-sin^2 T + cos^2 T)
    or max range when T = 45 degrees and
    Uo = Vo

    1. 👍 0
    2. 👎 0
    posted by Damon
  4. i don't know the answer but how 4 the man height varies

    1. 👍 0
    2. 👎 0
    posted by karan

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    i need 1 question each of this following straight ine motion, free falling body, projectile in the dimension and projectile in two dimension... i need it badly.. our prof need a good example of I

    asked by matt carlo on March 13, 2011
  2. physics

    i don't understand the projectile motion...my teacher said...it's a motion of a body confined to a vertical plane, perpendicular to Earth's surface... I don't get it, can anyone explain to me clearly???? plzzzzz....THX!!!! If your

    asked by Katrina on November 29, 2006
  3. Physics

    Which of the following statements about projectile motion is not correct? a)The acceleration is constant and in one direction. b)The only force is gravity. c)In projectile motion, the motion can be broken down into perpendicular

    asked by Lewis on October 14, 2012
  4. Science - Physics

    When a projectile is fired horizontally, which of the components of its motion is (A) motion at constatnt speed (B) uniformly accelerated motion (C) If the initial velocity of the projectile is increased, what effect will this

    asked by Nicole on December 6, 2006
  5. physics

    True/False (#1 only) 1)The horizontal motion of a horizontally launched projectile affects its vertical motion. False 2)The path of a projectile through space is called its. Trajectory

    asked by Jon on April 1, 2008
  6. Physics

    Q Exactly 2.7s after a projectile is fired into the air from the ground ,it is observed to have a velocity v = (8.8i+4.5 j) m/s where the x-axis is horizontal and the y axis is positive upward . a)Determine the horizontal range of

    asked by Nikitha on September 1, 2012
  7. Physics

    A projectile is launched at an angle of 34.0o above the horizontal. The projectile has a mass of 1.50 kg and is given an initial speed of 20.0 m/s. a) What is the initial kinetic energy of the projectile? b) By how much does the

    asked by John on May 30, 2014
  8. science

    If a projectile is fired straight up at a speed of 13m/s. How long does it take to reach the top of its motion? If the acceleration due to gravity is 9.8m/ s motion (squared) answer in units of s

    asked by jessica on October 14, 2012
  9. Physics - rojectile Motion (check pls)

    Imagine that you are solving a problem in projectile motion in which you are asked to find the time at which a projectile reaches a certain vertical position. when you solve the problem you find out two different positive values

    asked by Shaila on August 21, 2010
  10. Physics

    Projectile motion problem where a projectile is launched from level ground and lands on level ground. I have to use the kinematic equations to show that the time it takes for the projectile to reach its maximum height is equal to

    asked by Anon2013 on September 25, 2015

More Similar Questions