መልሱ በአማርኛ ቢሆን

Step 1: Identify the given information. The problem provides the following values:

• Initial velocity (v₀) = 10 m/s
• Angle (θ) = 30°
• Acceleration due to gravity (g) = 9.8 m/s²

Step 2: Determine what needs to be calculated. We need to find the maximum height (H) reached by the projectile.

Step 3: Recall the relevant physics formula. The formula for the maximum height of a projectile is: H = (v₀² * sin²(θ)) / (2 * g)

Step 4: Substitute the given values into the formula. H = ( (10 m/s)² * sin²(30°) ) / (2 * 9.8 m/s²)

Step 5: Calculate the square of the initial velocity. (10 m/s)² = 100 m²/s²

Step 6: Calculate the sine of the angle and then square it. sin(30°) = 0.5 sin²(30°) = (0.5)² = 0.25

Step 7: Substitute these values back into the equation for H. H = (100 m²/s² * 0.25) / (2 * 9.8 m/s²)

Step 8: Calculate the numerator. 100 m²/s² * 0.25 = 25 m²/s²

Step 9: Calculate the denominator. 2 * 9.8 m/s² = 19.6 m/s²

Step 10: Perform the final division. H = (25 m²/s²) / (19.6 m/s²) H ≈ 1.2755 m

Step 11: Round the answer to an appropriate number of significant figures. Given the input values, rounding to two or three significant figures is appropriate. H ≈ 1.28 m

The maximum height reached by the projectile is approximately 1.28 meters.