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Home » Check: \( 2.62^3 \approx 18 \)? Yes. - Groen Casting

Check: \( 2.62^3 \approx 18 \)? Yes. - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 An elementary student builds a solar-powered car that accelerates from 0 to 60 km/h in 5 seconds. Assuming constant acceleration, what is the car's acceleration in meters per second squared?

📌 Convert 60 km/h to m/s: \( 60 \times \frac{1000}{3600} = 16.67 \) m/s

📌 Acceleration \( a = \frac{\Delta v}{t} = \frac{16.67 \text{ m/s}}{5 \text{ s}} = 3.334 \) m/s²

📌 #### 3.334

📌 A nanotechnology engineer develops a material that can trap water vapor at a rate of 0.5 grams per square meter per hour. If a desert research zone uses 10,000 square meters of this material, how much water is trapped in one day?

📌 Water per hour: 0.5 g/m² × 10,000 m² = 5,000 g/hr

📌 Water per day: 5,000 g/hr × 24 hr = 120,000 g = 120 kg

📌 A venture capitalist invests $500,000 in a startup with an expected annual return of 12%. What will the investment be worth in 5 years, compounded annually?

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