A man reading a newpaper walks at a constant speed away from the lamp which illu

Question

A man reading a newpaper walks at a constant speed away from the lamp which illuminates the paper he is reading. The illumination from the lamp at clock time t is given by I = 20 / (t+3)2, where I is illumination in watts/m2 and t is clock time in seconds.

The rate at which the illumination a newspaper changes is given by Rate = 2830 / (t+3)3, where Rate is rate of change in watts/m2 per second and t is clock time in seconds. How much do you think illumination will change between t = 15.5 and t = 31 seconds?

Explanation / Answer

A man reading a newpaper walks at a constant speed away from the lamp which illuminates the paper he is reading. The illumination from the lamp at clock time t is given by I = 20 / (t+3)2, where I is illumination in watts/m2 and t is clock time in seconds.

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