Classical Mechanics
# 1D Dynamics

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 $\frac23$ full, what is the maximum tension **in Newtons** that the string can support?

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**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 $g=9.8\text{ m/s}^2.$