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A car on a roller coaster starts at zero speed at an elevation above the ground...

A car on a roller coaster starts at zero speed at an elevation above the ground of 20.8 m. It coasts down a slope, and then climbs a hill. The top of the hill is at an elevation of 14.77 m. What is the speed, in m/s, of the car at the top of the hill? Neglect any frictional effects; g=9.80 m/s2.

A projectile is shot from the surface of Earth by means of a very powerful cannon. If the projectile reaches a height of 30,614 m above Earth's surface, what was the speed of the projectile when it left the cannon? (G=6.67x10-11 m3 kg-1 s-1, mass of Earth is 5.97x1024 kg, and radius is 6.37x106 m)

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