Velocity of a particle increases exponentially with time from 2 m/s to 6 m/s. Write v-t equation corresponding to it.

v-t graph is as shown in figure,Above 2 m/s, the value 4 m/s increases exponentially. Hence, vt equation isv=2+41-e-ktHere k is a positive constant, which will depend on factors which are not given in the question.At t = 0,v=2+41-e0v = 2 m/sAt t = ∞v=2+41-e-∞v = 6 m/s