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A stone is thrown vertically upwards with a speed of 20 m/s. How high will it go before it begins to fall?

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A stone is thrown vertically upwards with a speed of 20 m/s. How high will it go before it begins to fall? (g = 8 m/s2)

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Initial velocity, u = 20 m/s

Final velocity, v = 0

Acceleration due to gravity, g = -9.8 m/s2

Height, h = ?

Using relation, for a freely falling body:

v2 = u2 + 2gh

(0)2 = (20)2 + 2 x (-9.8) x h

0 - 400 = -19.6 h

h = \(\frac{400}{19.6}\) = 20.4 m

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