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

[profcocoon]

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??

 

[PhanthomJay]

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.