To prove that objects of different weights fall at the same
rate, Galileo dropped two objects with different weights
from the Leaning Tower of Pisa in Italy. The objects hit the
ground at the same time. When an object is dropped from
a tall building, it falls about 16 feet in the first second, 48
feet in the second second, and 80 feet in the third second,
regardless of its weight. How many feet would an object
fall in the tenth second?

Respuesta :

Answer:

y = 1609 ft

Step-by-step explanation:

g is equal to 9,8 m/s²     or 32,18 ft/s²

According to g = 32,18 ft/s²

In the first second      as  y = -1/2 g*t²

y  = 1/2 32,18*(1)²       ⇒  y  = 16,9 ft           we dismiss the sign we know the object is falling down. Is enough for the purpose of this question

The second one

y  = 1/2* (32,18)* (2)²

y = 32,18*2          ⇒    y = 64,36 ft

third second

y = 1/2*32,18*(3)²     ⇒  y  = 144,81 ft

And in the  tenth second

y =( 1/2)* 32,18 * (10)²      ⇒    y = 1609 ft