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## Homework Statement

hi everyone ,, this is my last question before exam :

1) The figure shows the velocity versus time graph. If a particle starts motion at t=0.0

from x0 = 10.0 m:

a) Write the equation describing the position of the particle as a function of time t.

b) What are the positions of the particle at t= 2 s and t = 4 s.?

c) What is the position of the particle at the instant when it momentarily stops?

d) Find the distance and displacement of the particle between t = 2 s and t = 5 s.

## Homework Equations

## The Attempt at a Solution

I know that a=0 ,, and at t=0 > x=10m and at the same time Vo=12 m/s ,, and the velocity is decreasing so I made this equation :x=10-12t but the problem at t=0 Vo=0 and when I apply x(3) I don't get 18m which it's what i have to get by the graph .. can someone tell me what to do to get the equation ..?