Answer: the total distance that the object will fall after 6 seconds is 576 feet.
Step-by-step explanation:
The formula for determining the sum of n terms of an arithmetic sequence is expressed as
Sn = n/2[2a + (n - 1)d]
Where
n represents the number of terms in the arithmetic sequence.
d represents the common difference of the terms in the arithmetic sequence.
a represents the first term of the arithmetic sequence.
From the information given,
n = 6 seconds
a = 16 feet
d = 80 - 48 = 48 - 16 = 32
Therefore, the total distance the object will fall in 6 seconds is the sum of the first 6 terms, S6. It becomes
S6 = 6/2[2 × 16 + (6 - 1)32]
S6 = 3[32 + 32 × 5]
S6 = 3 × 192 = 576 feet
