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Karen drops a 2.0 kg rock from the top of a mountain. Determine the distance the rock travels after falling for 3 seconds assuming it has repacked free fall and given the gradation always acceleration of 9.8 m/s^2 downward.

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The motion of the rock is a free-fall motion, which is a uniformly accelerated motion with constant acceleration
g=9.8 m/s^2 downward, so the distance covered by the rock in a time t can be found by using the formula


S=(1)/(2) gt^2

By substituting t=3 s into the formula, we find the distance the rock travels after falling for 3 seconds:


S=(1)/(2) (9.8 m/s^2)(3 s)^2=44.1 m

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