The simple formula for the distance dropped from rest is
D = (1/2) x (gravity) x (time)² .
= (1/2) x (9.8 m/s²) x (3.34 sec)²
= (4.9 m/s²) x (11.16 sec²) = 54.66 meters .
But I don't like to just drop a formula on you, if it can be worked out logically. I think it's easier to understand if you go at it like this:
The acceleration of gravity on Earth is 9.8 m/s². That means that the falling object gains 9.8 m/s of downward speed every second. After 3.34 seconds, the melon is falling at (3.34 x 9.8) = 32.73m/s.
Its average speed is (1/2) (0 + 32.73) = 16.37 m/s .
In 3.34 seconds, at an average speed of 16.37 m/s, it falls (16.37 m/s) x (3.34 sec) = 54.66 meters .
At 3.28 feet/meter, that's 179.34 feet.
This solution is good for any fruit or vegetable at any school. But whatever you drop, you have to ignore air resistance. Otherwise it will take longer to fall, especially bananas and spinach.
