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Home » Gesamtänderung**: \(\frac102 - 100100 \times 100 = 2\%\) - Groen Casting

Gesamtänderung**: \(\frac102 - 100100 \times 100 = 2\%\) - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 #### 32400

📌 A weather model simulates pressure systems using velocity vectors. If wind speed increases by 12 m/s each hour and starts at 18 m/s, what is the total distance traveled by the wind in 5 hours assuming constant speed per hour?

📌 Speed each hour: Hour 1: 18, Hour 2: 30, Hour 3: 42, Hour 4: 54, Hour 5: 66 m/s.

📌 Distance = sum = 18 + 30 + 42 + 54 + 66.

📌 + 30 = 48; 48 + 42 = 90; 90 + 54 = 144; 144 + 66 = <<144+66=210>>210 meters.

📌 #### 210Question: In spherical coordinates $(\rho, \theta, \phi)$, a geographer models a region where the angle $\phi$ satisfies $\phi = \frac{\pi}{4}$. What shape does this equation describe?

📌 Solution: In spherical coordinates, $\phi$ is the polar angle measured from the positive $z$-axis. When $\phi$ is constant, the set of points forms a cone with its apex at the origin, opening symmetrically around the $z$-axis. For $\phi = \frac{\pi}{4}$, the cone makes a $45^\circ$ angle with the $z$-axis. Thus, the shape is a cone.

📌 \boxed{\text{Cone}}

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