To calculate the height of the building, we can use the equation for the displacement of an object in free fall under gravity:

$h = \frac{1}{2} g t^2$

Where:

• $h$ is the height of the building (in meters),
• $g$ is the acceleration due to gravity ($9.81 \, \text{m/s}^2$),
• $t$ is the time it takes for the watermelon to hit the ground (3.34 seconds).

Now, substituting the values:

$h = \frac{1}{2} \times 9.81 \times (3.34)^2$

Let's calculate this.

$h = 0.5 \times 9.81 \times 11.1556 = 54.72 \, \text{m}$

So, the building is approximately 54.72 meters tall.

Would you like more details, or do you have any questions?

Here are 5 related questions:

1. What would happen if air resistance were considered in this calculation?
2. How would the time change if the object were dropped from a higher building?
3. What formula is used to calculate the velocity upon impact?
4. How high would the building be if the time to hit the ground were 5 seconds?
5. What is the difference in fall time between an object dropped from 10 meters vs. 50 meters?

Tip: Always check the units when calculating physical quantities to ensure consistency and accuracy.