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Home » Is PSN Down? Users Are Losing Years of Grid Fighter Fun—Don’t Miss This! - Abbey Badges

Is PSN Down? Users Are Losing Years of Grid Fighter Fun—Don’t Miss This! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A science educator compares kinetic energies: a 1000-kg car moving at 20 m/s and a 2-kg ball at 100 m/s. How many times greater is the car’s kinetic energy than the ball’s?

📌 Car KE = 0.5 × 1000 × (20)² = 500 × 400 = 200,000 J

📌 Ball KE = 0.5 × 2 × (100)² = 1 × 10,000 = 10,000 J

📌 A cartographer overlays two map layers with resolutions 1 meter/pixel and 0.5 meters/pixel. To align them, each 1-meter tile is subdivided into four 0.5-meter pixels. How many smaller pixels cover a 2 km² area?

📌 Area = 2 km² = 2,000,000 m²

📌 Each 0.5 m pixel has area 0.25 m²

📌 Number of pixels = 2,000,000 ÷ 0.25 = <<2000000/0.25=8000000>>8,000,000

📌 #### 8000000

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Now find intersection with original line \( 3x - 4y + 12 = 0 \).
Substitute \( y = -\frac{4}{3}x + \frac{10}{3} \):
3x - 4\left(-\frac{4}{3}x + \frac{10}{3}\right) + 12 = 0
\Rightarrow 3x + \frac{16}{3}x - \frac{40}{3} + 12 = 0
Multiply through by 3:
9x + 16x - 40 + 36 = 0 \Rightarrow 25x - 4 = 0 \Rightarrow x = \frac{4...
Now find \( y \):
y = -\frac{4}{3} \cdot \frac{4}{25} + \frac{10}{3} = -\frac{16}{75} +...
So the closest point is \( \left( \frac{4}{25}, \frac{78}{25} \right)...
Alternatively, use the formula for projection. The distance from point...

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