Final answer:
The time it takes for the penny to hit the floor is approximately 0.64 seconds.
Step-by-step explanation:
The time it takes for a penny to hit the floor can be determined using the equation for free fall.
The penny is dropped from a height of 2m, so we can use the equation d = 0.5 * g * t^2, where d is the distance, g is the acceleration due to gravity (9.8 m/s^2), and t is the time. Rearranging the equation to solve for t, we have: t = sqrt(2 * d / g).
Plugging in the values, we get t = sqrt(2 * 2 / 9.8) = sqrt(4 / 9.8) = 0.64 seconds (rounded to two decimal places).