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Novosadov [1.4K]
3 years ago
11

You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0

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

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