SOLUTION: The total distance a freely falling body covers in time, t, is given by the equation d(t)=1/2 gt2 , where g is constant at 10 m/s2 . Show, in terms of n, the distance a falling

Algebra ->  Sequences-and-series -> SOLUTION: The total distance a freely falling body covers in time, t, is given by the equation d(t)=1/2 gt2 , where g is constant at 10 m/s2 . Show, in terms of n, the distance a falling      Log On


   



Question 1148363: The total distance a freely falling body covers in time, t, is given by the
equation d(t)=1/2 gt2
, where g is constant at 10 m/s2
. Show, in terms of n,
the distance a falling body covers in t = n seconds of movement.

The distance a freely falling body covers in the nth second is given by
s(n)=d(n)-d(n-1). Show s(n) ) in terms of g, in simplified form.
Prove that the quantities s(n) form an arithmetic sequence

Answer by ikleyn(52838) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is explained in the lesson
    Free fall and arithmetic progressions
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Arithmetic progressions".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.