document.write( "Question 1141493: A certain planet has a day length of 24 hours. The planet is totally covered in water, except for one small island. At hour 0, the island has 100% light with the planet’s star in the top of the sky. At hour 12, the island has 0% light and is in total darkness. Write an equation that models the amount of light in the sky on the island in terms of hours passed.
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Algebra.Com's Answer #762062 by ikleyn(52909) $\"\"$ $\"About$

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document.write( "The required equation is\r\n" );
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document.write( "    P = ,  if -6 <= t <= 6,\r\n" );
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document.write( "    P = 0            ,  if 6 <  t  < 18.\r\n" );
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document.write( "where P is the light's power (in watts) falling to the unit area of the island; \r\n" );
document.write( "and \"k\" is the constant value coefficient of the light energy absorption by the island' surface.\r\n" );
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document.write( "The sine function reflects the fact that the energy flux is proportional to the sine of the angle \r\n" );
document.write( "between the normal vector to the island surface and the direction to the star.\r\n" );
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