Results 1 to 4 of 4

Math Help - Worded Problem

  1. #1
    Newbie
    Joined
    Dec 2011
    Posts
    3

    Worded Problem

    Pedro throws a ball upward at a rate of 20 meters per second from an initial height of 2 meters. The height of the ball above the ground can be approximated by h = -5t^2 + 20t + 2 ...where t represents the amount of time, in seconds, since the ball has been released.

    What is the maximum height the ball can be reached?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Quacky's Avatar
    Joined
    Nov 2009
    From
    Windsor, South-East England
    Posts
    901

    Re: Worded Problem

    Because of the symmetry of the parabola, the vertex is halfway between the two roots. Alternatively, you could put the quadratic into vertex form, which is a(t-c)^2+k and read the vertex (c,k) directly. This will give you the maximum height.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Dec 2011
    Posts
    3

    Re: Worded Problem

    I'm sorry but I did not understand any of that, Quacky. My math skills are slim to none. Is there an easier, more understandable way to solve this problem?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member Quacky's Avatar
    Joined
    Nov 2009
    From
    Windsor, South-East England
    Posts
    901

    Re: Worded Problem

    If you look here, you can see the graph for the function. We are trying to find the maximum point of this graph. We could do this by setting the quadratic equal to 0 and finding the roots, using the quadratic formula or completing the square. Are you aware of either of these methods? Have you come across the vertex form of a quadratic before? If not, then your teacher should really have given you some instruction.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Worded problem.
    Posted in the Algebra Forum
    Replies: 6
    Last Post: January 2nd 2011, 05:44 PM
  2. Worded problem.
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 20th 2010, 07:41 PM
  3. Worded max/min problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 28th 2009, 01:50 AM
  4. Worded problem.
    Posted in the Business Math Forum
    Replies: 0
    Last Post: March 18th 2008, 05:56 AM
  5. Worded problem
    Posted in the Math Topics Forum
    Replies: 11
    Last Post: December 22nd 2007, 08:08 PM

Search Tags


/mathhelpforum @mathhelpforum