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 / s2 .
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