For positive constants k and g, the velocity, v, of a particle of mass m at time t is given by

Question

v= mg/k(1−e^(−kt/m))
At what rate is the velocity is changing at time 0? At t=1? What do your answers tell you about the motion?

Answer 1

t=0
rate = g
t=1
rate = g*(e^(-k/m))