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purplemexican
 one year ago
On the Moon, a falling object falls just 2.65 feet in the first second after being dropped. Each second it falls 5.3 feet farther than in the previous second. How far would an object fall in the first ten seconds after being dropped?
purplemexican
 one year ago
On the Moon, a falling object falls just 2.65 feet in the first second after being dropped. Each second it falls 5.3 feet farther than in the previous second. How far would an object fall in the first ten seconds after being dropped?

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welshfella
 one year ago
Best ResponseYou've already chosen the best response.1this is a an arithmetic series where the first term is 2.65 and each subsequent term is obtained by adding the common difference 35.

Purplemexican
 one year ago
Best ResponseYou've already chosen the best response.0a. 270 ft c. 313 ft b. 692 ft d. 265 ft

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1nth term = a1 + ( n 1)d where a1 = first term , n = number of terms and d = common difference so tenth term = 2.65 + 9*5.3 (common difference = 5.3 NOT 35 as i said in my first post)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1so in the second second it traveled 2.65 + 5.3 = 7.95 feet the total distance = sum of n terms = (n/2)[ a1 + L) where L = 10th term so plug in the values of a1 , n (=10) , and L and work it out

Purplemexican
 one year ago
Best ResponseYou've already chosen the best response.0what the formula

Purplemexican
 one year ago
Best ResponseYou've already chosen the best response.0im confused please state it again if you don't mind

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1plug in a1 = 2.65 , n = 10 and L = 10th term = 2.65 + 9*5.3 = 50.35

Purplemexican
 one year ago
Best ResponseYou've already chosen the best response.0so L=50.35 correct?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1thats the distance travelled in the 10 th second . You want the total distance travelled after 10 seconds have passed Use the formula to work that out.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1Total distance = (n/2) * [a1 + L)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1work ouy n/2 first then a1 + L then multiply the 2 results
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