a) m g h = 1/2 m v^2
v = sqrt(2 g h) = sqrt (2*9.81*1) m/s = 4.43 m/s
b) 1/2 k x^2 = 1/2 m v^2
x^2 = mv^2/k
x = v * sqrt(m/k) = 4.43 * sqrt (2/200) m = 0.443 m = 44.3 cm
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