Question: (a) Derive a differential equation for predicting the capsule temperature as a function of time. Solve this equation to obtain the temperature as a function

(a) Derive a differential equation for predicting the capsule temperature as a function of time. Solve this equation to obtain the temperature as a function of time in terms of capsule parameters and its initial temperature Ti.

(b) If the capsule begins its journey at 20°C, predict the position of the capsule relative to the sun at which its destruction temperature, 150°C, is reached.

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