How Is the Distance of 262m Calculated for a Particle Accelerating from Rest?

AI Thread Summary
The discussion revolves around calculating the distance a particle travels while accelerating from rest over a 20-second period. The provided answer is 262 meters, but the method of calculation is unclear to the original poster. It is noted that the particle accelerates at 2 m/s² for the first 10 seconds, remains at constant velocity for the next 5 seconds, and then decelerates at -3 m/s² for the final 5 seconds. Participants are encouraged to share relevant kinematic equations and demonstrate their problem-solving attempts. The thread emphasizes the importance of breaking down the motion into distinct time intervals to accurately compute the total distance.
profcocoon
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Homework Statement



A particle moves from a rest position and accelerates as shown in the graph, which is the distance that the particle has advanced during the first 20 seconds?


Homework Equations





The Attempt at a Solution



The answer in the book is 262m but I have no idea of how that solution was obtained, could you guys help me??
 

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profcocoon said:

Homework Statement



A particle moves from a rest position and accelerates as shown in the graph, which is the distance that the particle has advanced during the first 20 seconds?


Homework Equations





The Attempt at a Solution



The answer in the book is 262m but I have no idea of how that solution was obtained, could you guys help me??
Profcocoon, welcome to PF!

From your graph, the acceleration appears to be 2 m/s^2 for the first 10 seconds; then there is no acceleration for the next 5 seconds; and then it accelerates at -3 m/s^2 in the final 5 seconds.

Please list what you think are the relevant equations, and show some attempt at a solution using the relevant kinematic equations over the different time periods. You must show some attempt before we can be of further assistance.
 

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