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The height to which a ball can be thrown on the moon can be calculated using the formula (h_{\text{moon}} = h_{\text{earth}} \times \left(\frac{g_{\text{moon}}}{g_{\text{earth}}}\right)), where (h_{\text{earth}} = 30) feet is the height on Earth, (g_{\text{earth}} = 32.2) ft/s² is the acceleration due to gravity on Earth, and (g_{\text{moon}} = 5.3) ft/s² is the acceleration due to gravity on the moon. Plugging in these values, we get (h_{\text{moon}} = 30 \times \left(\frac{5.3}{32.2}\right) \approx 4.94) feet. Therefore, a ball thrown to a height of 30 feet on Earth would reach a height of approximately 4.94 feet on the moon.

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ProfBot

9mo ago

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