A pencil is rolled off a table of height 0.92 m. If it has horizontal speed pf 1.4 m/s, how long does it take the pencil to reach the ground?

The distance an object falls, from rest, in gravity is

D = (1/2) (G) (T²)

'T' is the number seconds it falls.

In this problem,

0.92 meter = (1/2) (9.8) (T²)

Divide each side by 4.9 : 0.92 / 4.9 = T²

Take the square root

of each side: √ (0.92/4.9) = T

0.433 sec = T

The horizontal speed doesn't make a bit of difference in

how long it takes to reach the floor. BUT ... if you want to

know how far from the table the pencil lands, you can find

that with the horizontal speed.

The pencil is in the air for 0.433 second.

In that time, it travels

(0.433s) x (1.4 m/s) = 0.606 meter

from the edge of the table.