Calculating the Height of a Balcony Using Free-Fall Motion
Question:
You want to verify the height of a balcony. You drop something off of the balcony, and it takes 2.7 seconds to reach the ground. How high is the balcony?
Answer:
The height of the balcony is approximately 35.04 meters.
Explanation:
To calculate the height of the balcony, we can use the equation for free-fall motion. The equation is:
height = (1/2) * gravity * time^2
Given that it takes 2.7 seconds for an object to reach the ground, we need to know the value of gravity. On Earth, the value of gravity is approximately 9.8 m/s^2. Plugging in the values, we get:
height = (1/2) * 9.8 m/s^2 * (2.7 s)^2
Simplifying, we find that the height of the balcony is approximately 35.04 meters.