A variety of phenomena can be captured by simplistic 1-dimensional models. Learn the essentials of mechanical motion in this stripped-down setting.

A ball starts to free-fall from a height of \(5.4\text{ m}.\) At the point when the ball is \(3.3\text{ m}\) above the ground, what is the approximate velocity of the ball?

The gravitational acceleration on earth is about \(9.8\text{ m/s}^2.\)

A 100 gram cylindrical glass is attached to a string that hangs from the ceiling. Then the glass which has a cross-sectional radius of 4 cm and a height of 15 cm, is slowly filled with water. If the string breaks when the glass is 2/3 full, what is the maximum tension **in Newtons** that the string can support?

**Details and assumptions**

- The acceleration of gravity is \(-9.8\text{ m/s}^2.\)
- The density of water is \(1\text{ g/cm}^3.\)

An object is vertically thrown to the sky from the ground with an initial velocity of \(7.2\text{ m/s}.\) Approximately how long does it take in seconds for the object to fall back to the ground?

The acceleration of gravity on earth is about \(g=9.8\text{ m/s}^2.\)

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