We can calculate the acceleration by using a kinematic equation that relates what is given to us with respect to acceleration. In the problem, we are given:
Vi = 2 km/hr
Vf = 23 km/hr
t = 0.25 hours
The kinematic equation that relates these values is:
Vf = Vi + at
Plugging in these values, we find that:
23 = 2 + a(0.25)
a = 84 km/hr^2
The acceleration of your bike is 84 km/hr^2.