What is the acceleration of the sled?

AI Thread Summary
The discussion revolves around calculating the acceleration of a sled sliding down a hill with variable acceleration. The sled starts from rest and is observed at three distances over a span of six seconds. One participant initially calculates the acceleration to be approximately 13.89 ft/s², assuming constant acceleration, despite the problem stating "without constant acceleration." Another participant questions the calculations and suggests reevaluating the approach by setting the first observation point as the origin. The conversation highlights confusion regarding the interpretation of acceleration in the context of the sled's motion.
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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