A probe of mass 100 kg is coasting through a dense gas cloud in deep space, where g = 0. There is drag from the gas cloud and it is modeled by the equation -0.38 v (N). If the probe entered the gas cloud with speed 1,047 m/s, how much time, in s, will it take for the probe's speed to be reduced to 14 percent of its initial velocity? (Please answer to the fourth decimal place)

A probe of mass 100 kg is coasting through a dense gas cloud in deep space, where g = 0. There is drag from the gas cloud and it is modeled by the equation -0.38 v (N). If the probe entered the gas cloud with speed 1,047 m/s, how much time, in s, will it take for the probe's speed to be reduced to 14 percent of its initial velocity? (Please answer to the fourth decimal place)