a kid is flying a kite 58 meters above the level ground. a small lead sphere is dropped from the kite. calculate the amount of time required for the sphere to fall to the ground

This is the formula you need to memorize:  

D = 1/2 · a · T²

Distance = (1/2) · (acceleration) · (Time²)

This formula tells the distance an object falls in any amount of time.

This question tells you the distance (58m), and you know the acceleration (gravity, 9.8 m/s²), so you can use this formula to find the time.

Distance = (1/2) · (acceleration) · (Time²)

58m  =  (1/2) · (9.8 m/s²) · (Time²)

Divide each side by (4.9 m/s²) :  Time²  =  (58/4.9) seconds²

Take the square root of each side:  Time = 3.44 seconds  

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