Final answer:
The height of the balcony from which a flowerpot falls can be calculated using the formula h = ½gt² with g being the acceleration due to gravity (9.8 m/s²) and t being the time taken to fall (3.5 seconds). The calculated height is approximately 60.025 meters.
Step-by-step explanation:
To calculate the height of the balcony from which a flowerpot falls, we can use the second equation of motion that relates height (h), gravity (g), and time squared (t²). The equation is:
h = ½gt²
We know the acceleration due to gravity (g) is approximately 9.8 m/s² and the time (t) the flowerpot takes to reach the ground is 3.5 seconds.
Plugging the values into the equation:
h = ½ × 9.8 m/s² × (3.5 s)²
h = 4.9 m/s² × 12.25 s²
h = 60.025 m
So, the height of the balcony is approximately 60.025 meters.