NASA launches a rocket at t 0 seconds Its position height in meters above sea level as a function of time t is given by s t 4 9t 67t 290 Use this position function to answer the following questions Round solutions to three decimal places if necessary Assuming that the rocket will splash down into the ocean at what time does splashdown occur The rocket splashes down after seconds How many seconds after the launch does the rocket reach its peak height The rocket reaches its peak height seconds after launch How high above sea level does the rocket get at its peak The rocket peaks at meters above sea level