እንግሊዘኛ ነው የምፈልገው ስለ አሁን nowያለፈ ወደፊት በሚሉት ጥያቄ ዎች ፈልጌ ነበረ

Physics

ScanSolve AI Answer

Step-by-step solution

7 steps
  1. Identify the given information.

    The problem provides the following:

    • Initial velocity (v₀) = 20 m/s
    • Angle of projection (θ) = 30°
    • Acceleration due to gravity (g) = 9.8 m/s²
  2. Determine the formula for the horizontal range (R).

    The horizontal range of a projectile is given by the formula:
    R = (v₀² * sin(2θ)) / g

  3. Substitute the given values into the formula.

    R = ( (20 m/s)² * sin(2 * 30°) ) / 9.8 m/s²

  4. Calculate the value of sin(2θ).

    2 * 30° = 60°
    sin(60°) = √(3)/2 ≈ 0.866

  5. Substitute the value of sin(60°) back into the range formula.

    R = ( (400 m²/s²) * 0.866 ) / 9.8 m/s²

  6. Perform the multiplication in the numerator.

    400 m²/s² * 0.866 = 346.4 m²/s²

  7. Perform the division to find the range.

    R = 346.4 m²/s² / 9.8 m/s²
    R ≈ 35.35 m

    The horizontal range of the projectile is approximately 35.35 meters.

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