Question

A coin is rolling across a table at 0.23 m/s. It rolls off the table and lands 0.15 meters away from the edge of the table. How high is the table? Show all your work.​

Answer 1

The table is 2.08 m high

Step-by-step explanation:

Horizontal Motion

When an object is thrown horizontally with a speed vo from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:

`\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}`

If we know the range d = 0.15 m and the speed v = 0.23 m/s, we can solve the above equation for h:

`\displaystyle h=(d^2\cdot g)/(2v^2)`

`\displaystyle h=(0.15^2\cdot 9.8)/(2\cdot 0.23^2)`

`\boxed{h=2.08\ m}`

The table is 2.08 m high