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In an effort to avoid a soggy and bruised student, Scott steps off the roof of a

ID: 1853720 • Letter: I

Question

In an effort to avoid a soggy and bruised student, Scott steps off the roof of a building with bungee cord affixed to his ankle and to the roof, hoping that the bungee cord will slow his fall to the ground. Let y(t) denote the distance from Drew's ankle to the ground and y(0) the height of the building. As the bungee cord stretches, it exerts a vertical force on Drew's ankle proportional to his vertical distance from the roof. Derive the differential equation in y(t) governing Drew's harrowing escape.

Explanation / Answer

so F bungee = k* ( y(0) - y(t) ) so we have F bungee - mg = ma k* ( y(0) - y ) - m g = m y''

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