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A ball is thrown vertically upwards with a speed of 20 m/s. How high will it go?
A ball is thrown vertically upwards with a speed of 20 m/s. How high will it go? (g = 10 m/s²) (2023)
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A ball is thrown vertically upwards with a speed of 20 m/s. How high will it go? (g = 10 m/s²) (2023)
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Using the formula h = v²/(2g), we have h = (20 m/s)² / (2 * 10 m/s²) = 20 m.
Questions & Step-by-step Solutions
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Q: A ball is thrown vertically upwards with a speed of 20 m/s. How high will it go? (g = 10 m/s²) (2023)
Solution:
Using the formula h = v²/(2g), we have h = (20 m/s)² / (2 * 10 m/s²) = 20 m.
Steps: 8
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Step 1: Identify the initial speed of the ball, which is 20 m/s.
Step 2: Identify the acceleration due to gravity, which is given as g = 10 m/s².
Step 3: Use the formula for maximum height, h = v² / (2g).
Step 4: Substitute the values into the formula: h = (20 m/s)² / (2 * 10 m/s²).
Step 5: Calculate (20 m/s)², which equals 400 m²/s².
Step 6: Calculate 2 * 10 m/s², which equals 20 m/s².
Step 7: Divide 400 m²/s² by 20 m/s² to find h: h = 400 m²/s² / 20 m/s² = 20 m.
Step 8: Conclude that the maximum height the ball will reach is 20 meters.
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