A rocket is fired straight up and accelerates upward at 12 m/s2 for 18 seconds. The rocket then runs out of fuel and coasts still going up. Ignore any air resistance effects on the rocket and use -9.8 m/s2 for the local acceleration due to gravity. a) What is the rocket’s maximum altitude? b) At the maximum height the rocket ejects a 55.0 kg scientific package which falls straight down with an average constant retarding force of 175 N. What is the package’s speed when it hits the ground?