A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft.

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A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft.

A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initialspeed of 32 ft/s. Air resistance is proportional to speed, with k=1/128 lb-s/ft.

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Calculus 4 years ago 1 Answer Md Fahad

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<p>A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initialspeed of 32 ft/s. Air resistance is proportional to speed, with k=1/128 lb-s/ft.</p>
<p><img style="height: 365px; width: 1024px;" src="https://www.subjectmate.com/img/openquestion/198uid1592320942mceclip0.png" alt="1. A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initial speed of 32 ft/s. Air resistance is proportional to speed, with k 1/ 128 lbs/ft. (a) Set up an IVP in y(t) (b) Find the velocity v(t) (c) Find the position y(t) (d) Find the maximum height attained by the stone (e) When does the stone hit the ground? You will have to use software for a numerical approximation (f) What is the speed at impact?" /></p>
<div id="hbo" class="hidden">1. A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initial speed of 32 ft/s. Air resistance is proportional to speed, with k 1/ 128 lbs/ft. (a) Set up an IVP in y(t) (b) Find the velocity v(t) (c) Find the position y(t) (d) Find the maximum height attained by the stone (e) When does the stone hit the ground? You will have to use software for a numerical approximation (f) What is the speed at impact?</div>

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