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vagabundo [1.1K]
3 years ago
5

a free-falling object increases speed by a little over 22 miles per hour each second. The arithmetic sequence 22 44 66 ...., rep

resents speed after each second, in miles per hour of a dropped object. How fast is a rock falling after 8 seconds if it is dropped over the side of the cliff?
Mathematics
2 answers:
tester [92]3 years ago
6 0

Answer:

176 mph after 8 seconds

Step-by-step explanation:

This is an arithmetic sequence with common difference 22 mph and first term 22.  Thus, the nth term is a(n) = 22 + 22(n - 1).

Thus, the 8th term is a(8) = 22 + 22(7) = 176 mph

Ne4ueva [31]3 years ago
3 0

Answer:

<h2>176 miles per hour</h2>

Step-by-step explanation:

Givens

  • The object increases speed by 22 miles per hour each second.
  • The arithmetic sequence is 22, 44, 66, ...

After 8 seconds refers to the term number eight in the sequence, where the increasing difference is 22 miles per hour. So, the sequence until the second 8 is

22mi/hr, 44mi/hr, 66mi/hr, 88mi/hr, 110mi/hr, 132 mi/hr, 154mi/hr, 176mi/hr

Therefore, in the second number 8, the speed is 176 miles per hour, becuase it increases 22 miles per hour each second.

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