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We set the potential energy formula, PE = mgh, equal to the kinetic energy formula, KE = 1/2mV^2

mgh = 1/2mV^2

cancel m algebraically

gh = 1/2V^2

plug and chug

(9.80 m/s^2)h = 1/2(20 m/s)^2

9.80h = 200

height = 20.4 meters

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Q: What is the height of a slope if a car weighing 1000 kg starts at the top at 0 meters per second and ends at the bottom at 20 meters per second?
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