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When a boulder and a pebble are dropped, why does the pebble pick up speed as quickly as the boulder, even though less gravity acts

When a boulder and a pebble are dropped, why does the pebble pick up speed as quickly as the boulder, even though less gravity acts on it? In other words, why do both accelerate equally? (Assume there is no air resistance.)

If water had a lower specific heat capacity, would ponds and lakes be more or less likely to freeze in winter? Explain your reasoning.

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