Acceleration of a particle decreases exponentially from 10 m/s2 to 6 m/s2.  Write a - t equation.

a-t graph is as shown in figure.Above 6 m/s2 the value 4 m/s2 decreases exponentially. Hence, a - t equation isa=6+4e-ktHere, k is a positive constantAt t = 0,a=6+4e0=10 m/s2  as e0=1  At t=∞ a=6+4e-∞=6 m/s2 as e-∞=0