final speed of the students when they reached at door of the classroom will be
[tex]v_f = 3 m/s[/tex]
initially all are moving at speed
[tex]v_i = 1 m/s[/tex]
it took t = 10 s to reach to the classroom
now as per definition of acceleration we will have
[tex]a = \frac{v_f - v_i}{t}[/tex]
now plug in all values in it
[tex]a = \frac{3 - 1}{10}[/tex]
[tex]a = \frac{2}{10} [/tex]
[tex]a = 0.2 m/s^2[/tex]
so here student will accelerate at rate of 0.2 m/s^2