acceleration of the cyclist is given as a = 3.2 m/s^2
initial speed of the start is given as vi = 0
we need to find the speed after t = 2.4 s
so we can use here kinematics to find out the speed
[tex]v_f = v_i + at[/tex]
[tex]v_f = 0 + 3.2* 2.4[/tex]
[tex]v_f = 7.68 m/s[/tex]
so after the given time speed of the cyclist will be 7.68 m/s