Results 1 to 2 of 2

Math Help - Modeling motion using parametirc equations?

  1. #1
    Senior Member
    Joined
    Dec 2010
    From
    CPT
    Posts
    302

    Modeling motion using parametirc equations?

    1. Professional golfer Lopez hits a golf ball with a force to produce an initial velocity of 175 feet per second at an angle of 35 above the horizontal. She estimates the distance to the hole to be 225 yards.

    So I made my parametric equations

    x= T 175cos(35)
    y= T 175sin(35)-16t^2

    Find the range of the ball? How would I find the range of the ball?


    2. Alfredo is performing a physics experiment in which he will launch a rocket the rocket is supposed to release a parachute 300 feet in the air 7 seconds after liftoff. He is firing the rocket at 78 degrees from the horizontal.

    I know the initial velocity is 158.31 ft/s using my parametric equation


    Now it ask me "to protect other students from falling rocket the teacher need to place warning sings 50 yards from where the parachute is released. How far should the sings be from the point where the rockets are launched"?

    How would I figure this out.


    Can anyone show me how to these two problems
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,694
    Thanks
    450
    Quote Originally Posted by homeylova223 View Post
    1. Professional golfer Lopez hits a golf ball with a force to produce an initial velocity of 175 feet per second at an angle of 35 above the horizontal. She estimates the distance to the hole to be 225 yards.

    So I made my parametric equations

    x= T 175cos(35)
    y= T 175sin(35)-16t^2

    Find the range of the ball? How would I find the range of the ball?

    set y = 0 , solve for the non-zero value of t ... sub that value of t in for x to find the range


    2. Alfredo is performing a physics experiment in which he will launch a rocket the rocket is supposed to release a parachute 300 feet in the air 7 seconds after liftoff. He is firing the rocket at 78 degrees from the horizontal.

    I know the initial velocity is 158.31 ft/s using my parametric equation

    Now it ask me "to protect other students from falling rocket the teacher need to place warning sings 50 yards from where the parachute is released. How far should the sings be from the point where the rockets are launched"?

    the rocket will be a horizontal distance x = 158.32cos(78)*7 from the launch position when the chute opens
    ...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Modeling With Quadratic Equations
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: November 2nd 2010, 04:05 PM
  2. Modeling Using Differential Equations
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: April 19th 2010, 07:35 AM
  3. Modeling with differential equations
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: December 14th 2009, 05:16 AM
  4. Modeling with first order equations
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 2nd 2008, 04:41 PM
  5. differential equations modeling
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 22nd 2007, 01:00 PM

Search Tags


/mathhelpforum @mathhelpforum