SOLUTION: A freely falling body,starting from rest,falls 16 ft during the first second,48 ft during the second,second,80 ft during the third second,etc.Calculate the distance it falls during

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A freely falling body,starting from rest,falls 16 ft during the first second,48 ft during the second,second,80 ft during the third second,etc.Calculate the distance it falls during      Log On


   

Question 811898: A freely falling body,starting from rest,falls 16 ft during the first second,48 ft during the second,second,80 ft during the third second,etc.Calculate the distance it falls during the fifteenth second and the total distance it falls in 15 seconds from rest.
Thank you in advance!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A freely falling body,starting from rest,falls 16 ft during the first second,48 ft during the second,second,80 ft during the third second,etc.
Calculate the distance it falls during the fifteenth second and the total distance it falls in 15 seconds from rest.
:
Find the total dist of the 14th sec subtracted from the 15th second
f(t) = 16(15^2) - 16(14^2)
f(t) = 3600 - 3136
f(t) = 464 ft during the 15th second
A total of 3600 ft