Please help with an acceleration and distance problem

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AI Thread Summary
A rocket sled traveling at 632 miles per hour comes to a stop in 1.40 seconds, prompting a calculation of its negative acceleration and distance traveled during deceleration. The correct formula for acceleration is a = change in velocity divided by change in time, leading to an expected result of -202 meters/second squared. However, there was confusion regarding unit conversion, as the user's calculations yielded -661.4 meters/second squared. For distance, the formula x = xi + vit + 1/2 at^2 was applied, but the user’s answer of 1,495.2 meters significantly deviated from the book's 119 meters. The discussion highlights the importance of using the correct equations and being mindful of unit conversions in physics problems.
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Homework Statement


A rocket sled goes down a track at a speed of 632 miles/hr. The sled is then brought to a rest in 1.40 seconds. Determine the a) negative acceleration experienced on the sled and b) the distance traveled during the negative acceleration.


Homework Equations


I attempted to calculate the acceleration using the a = change in velocity divided by change in time. The answer in my book was -202 meters/second squared, which i didn't understand because when I tried converting my result to met/sec, it did not match this. it was too much: -661.4 met/sec. i also tried calculating the distance traveled using the distance formula: x= xi + vit + 1/2 at^2 This also didn't work because I realized when I tried converting my answer to met/seconds, it was still way too much. The book's answer was 119 meters. My answer was 1, 495.2 meters. I thought that I used the correct formulas but there must be something I am missing.



The Attempt at a Solution


See above.
 
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The equations are quite simple, v = u + at for the acceleration and v2 = u2 + 2as for the distance.
 
ok thanks! i think i was not aware of a few of the simpler equations to use when solving these problems.
 
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