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A pair of radiated tortoises (Mohammed on the left and Rina on the right) are in an intense foot-race. They start simultaneously but Mohammed gets a 0.075-mile head-start. If Mohammed can run at 0.254 mi/h and Rina at 0.300 mi/h, and the finish line is 0.08 miles from Rina’s starting point, who wins the race and how far ahead are they when they do?

Veryovkina Cave is 2,212 meters (7,257 ft) deep and is the deepest-known cave on Earth. Its entrance is situated 2,309 meters (7,575 ft) above sea level in Abkhazia, Georgia.

While at the top of the cave, you drop your flashlight. Ignoring air resistance:

a) How long until it strikes the bottom?

b) With what speed will it strike the bottom.

A 9-inch ice core is dropped down a 450-foot (137-meter) hole.

a) How long does it take to reach the bottom?

b) How fast is it going when it strikes the bottom?

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