\[ P(t) = P_0 e^{kt}, \]

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• \[ a = -\frac{g}{2v_0^2\cos^2\theta}, \quad b = \tan\theta. \]
• \[ x = -\frac{\tan\theta}{2\left(-\frac{g}{2v_0^2\cos^2\theta}\right)} = \frac{v_0^2\sin\theta\cos\theta}{g}. \]
• \[ x = \frac{v_0^2 \sin(2\theta)}{2g}. \]
• \[ P(5) = 3P_0. \]
• \[ 3P_0 = P_0 e^{5k}. \]
• \[ 3 = e^{5k}. \]

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