The equation \(y = -4.9t^2 - 3.5t + 2.4\) relates the height \(y\) (in meters) to the elapsed time \(t\) (in seconds) for a ball thrown downward at 3.5 meters per second from a height of 2.4 meters from the ground. In how many seconds will the ball hit the ground? Express your answer as a decimal rounded to the nearest hundredth.
