SOLUTION: If an object is in free fall, the sequence 16, 48, 80, ... represents the distance in feet that the object falls during the first second, during the second second, during the third

Algebra ->  Equations -> SOLUTION: If an object is in free fall, the sequence 16, 48, 80, ... represents the distance in feet that the object falls during the first second, during the second second, during the third      Log On


   



Question 332363: If an object is in free fall, the sequence 16, 48, 80, ... represents the distance in feet that the object falls during the first second, during the second second, during the third second, and so on. How far will the object fall during the first 6 seconds?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If an object is in free fall, the sequence 16, 48, 80, ... represents the distance in feet that the object falls during the first second, during the second second, during the third second, and so on. How far will the object fall during the first 6 seconds?
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s+=+at%5E2%2F2
16 = a/2 --> a = 32
48 = a*4/2 = 2a --> a = 24
80 = a*9/2 = 4.5a --> a = 32
The acceleration is not constant, so no solution is possible without additional info.
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If the 2nd entry is 64 instead of 48, then the acceleration would be 32 ft/sec/sec, which is apx the Earth's gravitational acceleration.
Then for 6 seconds s = 16*36/2 = 288 feet.