Final answer:
To find the landing speed of the orange dropped from a 6 meter high balcony, use the equation v = sqrt(2 * g * h), where v is the velocity, g is the acceleration due to gravity, and h is the height.
Step-by-step explanation:
To find the landing speed of an object dropped from a certain height, we can use the equation v = sqrt(2 * g * h), where v is the velocity, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height.
In this case, the height is 6 meters, so substituting the values into the equation, we get v = sqrt(2 * 9.8 * 6) = 14.14 m/s
Therefore, the correct answer for option C is 14.1 m/s.