Answer:
Approximately
(assuming that
, the table is level, and that air resistance on the coin is negligible.)
Step-by-step explanation:
Assume that the air resistance on the coin is negligible. As long as the coin is in the air, its horizontal velocity of the coin will be constantly equal to the original value,
.
It is given that the horizontal displacement of this coin is
during the flight. Divide this horizontal displacement by horizontal velocity to find the duration
of the flight:
.
Also because air resistance on the coin is negligible, the vertical acceleration of the coin will be constantly
. If the table is level, the initial vertical velocity of the coin
will be
. Apply the SUVAT equation
to find the vertical displacement of the coin during the
that it is in the air:
.
In other words, the coin lands approximately
below the table edge. Hence, the height of the table would be approximately
.