Eric is standing on the ground, a distance of 70 ft from the bottom of Ferris wheel that has a 20 ft radius. His arm is at the same height as the bottom of the Ferris wheel. Janice is on Ferris wheel which makes one revolution counter clock wise every 16 secs. At the instant she is at a point A, Eric throws a ball to her at 60 ft/ sec at an angle of 60 degrees above the horizontal.will the ball reach Jenice? Show the equations for the Ferris wheel and the ball and draw the graph.
What is the minimum distance between the ball and Janiceon the Ferris wheel and what is the time at which the minimum distance occurs?

  1. 👍 0
  2. 👎 0
  3. 👁 295
  1. If Janice is at (0,0) when t=0, then the wheel obeys

    w(t) = 20(1-cos(π/8 t))

    The ball follows the parametric equations

    x(t) = -70 + 60cos60° t
    y(t) = 60sin60° t - 16t^2

    I have no idea where point A is, but having the equations should make things amenable to solution.

    1. 👍 0
    2. 👎 0
    posted by Steve
  2. Oops. The w(t) given above is the y-value of Janice's position. You also need to use the x-value, which I'm sure you can do.

    1. 👍 0
    2. 👎 0
    posted by Steve
  3. I need the minimum distance

    1. 👍 0
    2. 👎 0
    posted by Praphul

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    a ferris wheel with a 40-ft diameter rotates once every 30 seconds. the bottom of the wheel is located 1.5 feet above the ground. you get on at the very bottom of the ferris wheel at time t = 0 and then the ferris wheel begins to

    asked by June on October 10, 2018
  2. Algebra, Trig

    You are standing at a base of a Ferris Wheel which is 4 m above ground while your friend is riding. The Ferris Wheel is 8m in diameter. Describe how the shape of the sine curve models the distance your friend is to the platform

    asked by Jay on October 12, 2017
  3. Math (Trig)

    a ferris wheel has a radius of 10m and is one meter above the ground. If the ferris wheel makes 1 revolution every 20 seconds, write an equation that gives the height above the ground of a person on the ferris wheel as a function

    asked by Meg on February 27, 2011
  4. trig question

    A Ferris wheel has a deameter of 50m. The platform at the bottom, where you load the ferris wheel, is 3 m above the ground. The Ferris wheel rotates three times every two minutes. A stopwatch is started and you notice you are even

    asked by Alice on November 2, 2006
  5. Pre-Calc Trig

    Create both a sine and cosine model for height of a passenger off of the ground for each of the following Ferris wheels. 1) customers must climb up 12 foot steps to get into the Ferris wheel (I.e) bottom of Ferris wheel is at the

    asked by Anonymous on April 7, 2017
  1. math (trigonometry)

    A ferris wheel has a diameter of 100m and the bottom of the wheel is 4m above the ground. It rotates two times every 10 minutes. Using this information, complete each question. c) Determine the angular velocity of the Ferris wheel

    asked by Laura on January 27, 2018
  2. Trigonometric Functions

    A person is riding a ferris wheel that turns at a constant speeed. The lowest point of the ferris wheel is at ground level. Another person is standing at the side of the wheel on a platform 4m above the ground. She notes the times

    asked by REALLY URGENT on May 5, 2014
  3. precalculus

    A Ferris wheel has a radius of 40 feet. The bottom of the Ferris wheel sits 0.5 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise. Define a function,f that gives your height

    asked by tavia on May 2, 2017
  4. math

    a ferris wheel has a radius of 8m and rotates every 12 hrs. THe bottom of the ferris wheel is 1m above the ground. draw a graph describing how a person's height above the ground varies with time. Find an qeation for your graph.

    asked by linda on November 15, 2008
  5. Trigonometry

    A carnival Ferris wheel with a radius of 7 m makes one complete revolution every 16 seconds. The bottom of the wheel is 1.5 m above the ground. The ride starts at the bottom. Find the sinusoidal function that models this Ferris

    asked by Tabitha on January 14, 2011

More Similar Questions