What is the acceleration of the sled?

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SUMMARY

The sled's acceleration was calculated to be 13.8889 ft/s² based on the distances covered at specific time intervals. The sled starts from rest and travels 80 ft in the first 2 seconds, then 125 ft in the next 2 seconds, and finally 180 ft in the subsequent 2 seconds. The assumption of "without constant acceleration" was clarified to mean "with constant acceleration" for the purpose of solving the problem. The equations used to derive the acceleration were based on the kinematic equation s = ut + ½at².

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won der
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Homework Statement


A sled starts from rest at the top of a hill and slides down without constant acceleration. At same later time, it is 80 ft. from the top ; 2s after that it is 125 ft. from the top ; another 2s it is 180ft from the top.

a.) What is the acceleration of the sled?
b.) how long did it take to go from the top to the 80ft point?
The attempt at a solution
I
I solved for the a of the 2nd point
125ft=a(2s+4s)^2/2
125ft = a(6s)^2/2
125ft = a36s^2/2
125ft = a18s^2/2
125ft= a9s^2
13.8889ft/s^2 = a
 
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I'm assuming "without constant acceleration" is actually "with constant acceleration".

I don't understand your working but it doesn't get you close to the real answer.

If you initially take the 80ft point as zero distance, zero seconds (s=0, t=0), you then have 2 equations you can fill in for s=ut+½at2
 
won der said:

Homework Statement


A sled starts from rest at the top of a hill and slides down without constant acceleration. At same later time, it is 80 ft. from the top ; 2s after that it is 125 ft. from the top ; another 2s it is 180ft from the top.

a.) What is the acceleration of the sled?
b.) how long did it take to go from the top to the 80ft point?
The attempt at a solution
I
I solved for the a of the 2nd point
125ft=a(2s+4s)^2/2 **
125ft = a(6s)^2/2
125ft = a36s^2/2
125ft = a18s^2/2 ***
125ft= a9s^2
13.8889ft/s^2 = a
Hi won der. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

Can you explain how you got the equation I marked **
Looks like a mistake on line I marked ***

Are you sure you meant to write "without" constant acceleration?
 
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