The v  s graph of a gas particle moving in a straight line path in front of a table fan is as shown, where v is the velocity and s is the displacement of the particle from the table fan. Find its maximum acceleration .(Approximate to two decimal points ). a) 3.62 m / s^{2 .} 

The acceleration at any instant is given by velocity times slope of v  s graph. The extremities in the acceleration occur at displacements where the differential of the acceleration equals zero. The maximum acceleration occurs at the displacement , s, where the second differential of acceleration ( with respect to s in this case ) is less than zero. The above equation is true for s = 2.71 m 