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Classical Mechanics | 0th Edition | ISBN: 9781891389221 | Authors: John R Taylor
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Consider again the baseball of .41 and write down the

Chapter 2, Problem 2.42

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QUESTION:

Consider again the baseball of 2.41 and write down the equation of motion for the downward journey. (Notice that with a quadratic drag the downward equation is different from the upward one, and has to be treated separately.) Find v as a function of y and, given that the downward journey starts at ym as given in (2.89), show that the speed when the ball returns to the ground is vtvoilvL vo2. Discuss this result for the cases of very much and very little air resistance. What is the numerical value of this speed for the baseball of 2.41? Compare with the value in a vacuum.

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QUESTION:

Consider again the baseball of 2.41 and write down the equation of motion for the downward journey. (Notice that with a quadratic drag the downward equation is different from the upward one, and has to be treated separately.) Find v as a function of y and, given that the downward journey starts at ym as given in (2.89), show that the speed when the ball returns to the ground is vtvoilvL vo2. Discuss this result for the cases of very much and very little air resistance. What is the numerical value of this speed for the baseball of 2.41? Compare with the value in a vacuum.

ANSWER:

Step 1 of 4

The downward journey of baseball starts from stator state under the effect of gravitational downward force. The gravitational force and motion of baseball is in the same direction and the sensitive force acts on opposite direction of baseball,

Thus, the equation of motion can be represented as,

                                                             

Then become zero at terminal velocity, then

                                                           

Thus,

                                                           

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