Answer to Question #206819 in Mechanical Engineering for Rodel

Question

A marble rolling with speed of 20 cm/s, rolls off the edge of a table that is 800m high. How far horizontally from the table edge does the marble strike the floor?

Answer 1

1) Find the time it will take to land from 800 m:

$$t=\sqrt{\frac{2h}{g}}=12.8\text{ s}.$$

2) Find the horizontal distance:

$$R=v_xt=0.2·12.8=2.56\text{ m}.$$