To prove that objects of different weight fall at the same rate, galileo dropped two objects with different weights from the leaning tower of pisa in itally. The object hit the ground at the same time. Who an object is dropped from a tall about 16 ft in the first second, 48ft in the second, and 80 feet in the third second regardless of its weight. How may feet would an object fall in the twelfth second?
Answers
Answer:
44
Step-by-step explanation:
Given: Galileo dropped two objects with different weights from the leaning tower of Pisa in Italy.
The object hit the ground at the same time.
an object is dropped from a tall about 16 ft in the first second, 48ft in the 2nd second, and 80 feet in the third second regardless of its weight.
To Find : How may feet would an object fall in the twelfth second?
Solution:
S = ut + (1/2)at²
u = 0 as dropped
Hence S = (1/2)at²
16 ft in the first second,
=> 16 = (1/2)a1²
=> a = 32
S = 16t²
S₁ = 16 * 1² = 16 ft
S in 2nd second = S₂ - S₁ = 16(2)² - 16(1)² = 48 ft
S in 3rd second = S₃ - S₂ = = 16(3)² - 16(2)² = 80 ft
So S in 12th second = S₁₂ - S₁₁ = 16(12)² - 16(11)² = 16 * 23
= 368 ft
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