You are working with a group of interns at a commercial rocketcompany. They are testing the feasibility of launching rockets withcatapults to reach the upper atmosphere, where they will release apayload of small weather balloons. You have been given the task ofdetermining the path of a rocket under the following conditions:The catapult launches the rocket from an underground silo at 60.0°above the horizontal such that it has a speed of 100 m/s, in adirection toward the ocean, just as the tail end of the rocketarrives at ground level. At that instant, the rocket engineimmediately starts a burn, which lasts for 32.0 s, during which therocket moves along its initial line of motion with a constantacceleration of 32.0 m/s2. After the burn, the fuel runsout and the rocket proceeds to move in free fall, with its tail enddownward. Your supervisor has asked you to ignore air resistanceand determine the maximum height of the tail end of the rocketabove the ground, the total time interval during which the rocketis in the air, and where to locate a recovery team to be ready toretrieve the rocket from its landing in the ocean.
(a)
Determine the maximum height (in km) of the tail end of therocket above the ground.
km
(b)
Determine the total time interval (in s) during which the rocketis in the air.
s
(c)
Determine where to locate a recovery team to be ready toretrieve the rocket from its landing in the ocean. (Give youranswer in km downrange from the launch.)
km
