Questions: The energy of an object is given by E=mg h + 1/2 m(dh/dt)^2 where m is the (constant) mass of the object, g is constant, and h is the height of the object. If the energy of the object is increasing at a rate of 50 ft. lbs. / sec, find the acceleration of the object the instant its velocity is 10 ft / sec.
Transcript text: (b) The energy of an object is given by $E=m g h+\frac{1}{2} m\left(\frac{d h}{d t}\right)^{2}$ where $m$ is the (constant) mass of the object, $g$ is constant, and $h$ is the height of the object. If the energy of the object is increasing at a rate of $50 \mathrm{ft} . \mathrm{lbs} . / \mathrm{sec}$, find the accelaration of the object the instant its velocity is $10 \mathrm{ft} / \mathrm{sec}$.
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