Jen's phone uses a simple algorithm to count the number of strides she takes. The algorithm looks at the phone's accelerometer measurements, and counts a stride each time the acceleration goes from below to above $3$ g. Based on the number of strides counted in the $20$-second window shown here, and assuming that Jen travels $140$ cm per stride, what was Jen's average walking speed, in meters per second, over the $20$-second window? Express your answer as a decimal to the nearest hundredth.
