Calculating Push Time for a Moving Crate

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SUMMARY

The discussion focuses on calculating the push time for a crate that accelerates at 2.85 m/s² and decelerates at 4.17 m/s² over a total distance of 92.7 meters. The crate starts from rest and comes to a complete stop after being pushed. The key equations involved include the kinematic equations for uniformly accelerated motion. The solution requires determining the time the crate was pushed before it began to decelerate.

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Homework Statement



A crate is initially at rest on a rough, horizontal floor. The crate moves in a straight line as it is pushed resulting in the crate speeding up at a constant rate of 2.85 m/s2. After a while, the crate is no longer being pushed and the crate slows down at a constant rate of 4.17 m/s2. The crate comes to rest a total distance 92.7 m away from its starting position. For how long (amount of time) was the crate pushed?
Round to 3 sig figs
 
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You forgot part 2 (relevant equations) and 3 (your attempt at a solution).
You can get help here, but not complete solutions.
 

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