How to find the global equation of a dual curve?

How do I find the instantaneous velocity when I am only given the position curve but no equation?

  • I'm given a position curve, but no equation to take the derivative of, and the problem is asking for the instantaneous velocity at some point. Can anyone help? If you have Physics for Scientists and Engineers, 8th edition by Serway/Jewett; its problem 5 from chapter 2. By the way, this is my first exposure to Physics in 8 years and first time doing calculus in 3 years. So if this is something stupid that I'm missing, please let me know. Thanks.

  • Answer:

    You have several possibilities. Not knowing the exact problem, here is the "Brute Force" solution: Method 1: eye ball a tangent to the curve at the point of interest. Draw a triangle with sides parallel to the x and y axis the tangent is the hypotenuse and find the slope of the tangent ( rise / Run ) Method 2: measure the change in distance between 2 times as close together as possible and find the velocity

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You have several possibilities. Not knowing the exact problem, here is the "Brute Force" solution: Method 1: eye ball a tangent to the curve at the point of interest. Draw a triangle with sides parallel to the x and y axis the tangent is the hypotenuse and find the slope of the tangent ( rise / Run ) Method 2: measure the change in distance between 2 times as close together as possible and find the velocity

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