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Calculus open response question

  1. Apr 3, 2010 #1
    As shown in diagram attached:

    A clock sits on a desk so that its center is 35 inches from the floor. The MINUTE hand is 5 inches long. Let theta (θ) be the angle between the 12 o'clock position and the minute's hand position at any time (t) minutes after the hour.

    a) Using a trigonometric function of theta (θ) write an expression for y the distance from the tip of the minute to the floor.

    b) Express theta (θ) as a function of time (t).

    c) In terms of θ, find an expression for dy/dt the rate at which y changes.

    d) How many minutes after the hour is y increasing most rapidly? Use dy/dt to justify answer.
  2. jcsd
  3. Apr 4, 2010 #2


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    Welcome to PF!

    Hi Brianaa! Welcome to PF! :wink:

    Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
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