#### 158.4

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• Total without stacking effect: 48 + 36 + 60 = 144 cm
• Accounting for 10% resistance reduction due to stacking (spatial averaging factor increases effective flow): effective depth multiplier = 1 + 0.10 = 1.10
• Effective total depth = 144 cm × 1.10 = 158.4 cm
• A science journalist is analyzing data from a recent study showing that a new solar panel increases efficiency by 22% over standard models. If a standard panel generates 280 watts per square meter under full sunlight, and a test installation uses 15 panels each with area 1.8 m², how much additional power is generated by the new panels due to improved efficiency?
• Standard power per panel: 280 W/m² × 1.8 m² = 504 W
• New panel efficiency: 280 W × (1 + 0.22) = 280 × 1.22 = 341.6 W

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Dimensions are 10 meters by 24 meters.#### 10 meters by 24 metersA ball is thrown upwards with an initial velocity of 20 m/s from a height of 50 meters. Using the equation \( h(t) = -5t^2 + 20t + 50 \), where \( h \) is the height in meters and \( t \) is the time in seconds, find the time when the ball hits the ground.Set \( h(t) = 0 \):\( -5t^2 + 20t + 50 = 0 \)Divide the entire equation by -5:\( t^2 - 4t - 10 = 0 \)Use the quadratic formula: \( t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)Here, \( a = 1, b = -4, c = -10 \)\( t = \frac{4 \pm \sqrt{16 + 40}}{2} \)