A ball is launched straight up in the air and is acted on by air resistance and

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A ball is launched straight up in the air and is acted on by air resistance and gravity as in Example 5. The function H gives the maximum height that the projectile attains as a function of the air resistance parameter k. In each case, determine the maximum height as we let the air resistance term go to zero; that is, determine lim H(k). k0


EXAMPLE 5 Maximum Height Under Air Resistance In Example 8 in the previous section, we introduced a function

EXAMPLE 8 The Form 00 Evaluate lim x*. x40+

A ball with a mass of 500 g is launched upward with an initial velocity of 30 m/s, and

H(K) = 15k -2.45 In(300k + 1) 49 k

(Compare with Exercise 24 in the previous section.)

Data From Exercise 24

A ball with a mass of 500 g is launched upward with an initial velocity of 30 m/s, and

H(K) 15k - 2.45 In(300k 49 k + 1)


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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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