II. A Heat Harmonic Hypothesized ( Imagine a newly discovered weather pattern in which the temperature, measured in Degrees Kelvin and designated D , fluctuates according to the following equation...

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Extracted text: II. A Heat Harmonic Hypothesized ( Imagine a newly discovered weather pattern in which the temperature, measured in Degrees Kelvin and designated D , fluctuates according to the following equation (for which time is measured in SECONDS): -625D. dt2 Imagine, further, some weather system for which the initial temperature is D, = 150 K. ) In seconds, find how much TIME will elapse before the very next time the temperature returns to 150 K. You may round to something like 3 sig figs 2) In Kelvins, find the temperature at the moment precisely 25 seconds have elapsed (from the start). You may round to something like 3 sig figs 3) In what units must the 625 be measured ? 4) Meteorologists conjecture that this weather system can be modeled as a huge concentration of hot air, being pulled and pushed by pressure differentials that behave as though they were elastic bands Assume the hot air has a mass of 3 x 102 Kg. If these pressure differentials are fluctuating as though they were elastic, then their effective elasticity can be quantified as a stiffness, i.e.: spring constant. Find the STIFFNESS of this representational weather spring. 5) TRUE or FALSE D = 150 cos(25t + 14}s one possible "SOLUTION" to the Dif Equation AS WELL AS CONDITION provided at the top of this sheet. 6) TRUE or FALSE D= 99 cos (1It) is one possible "SOLUTION" to that (same) Dif. Equation AS WELL AS CONDITION provided at the top of this sheet.