4. (10 points) Benny is testing a new rocket design created by the architects at a university down the street. The rocket has a mass of 1300 kg, starts from rest, and thankfully only travels along the x-axis. The rocket turns on and for the first 25 seconds it experiences a net force of 1500 N in the positive x-direction. The rocket then malfunctions, experi- encing an unknown constant acceleration along the x-axis. Benny measures that 33 seconds after the rocket malfunctioned, the rocket was located a total of only 120 meters in the positive x-direction from it's starting location. (a) How far did the rocket travel in the first 25 seconds? Force analysis Efx = max 1500 N = (1300 kg) ax = 1.154 m/s Kinematics Ax= First + anst +axs Ax = (1.1543) (255) = 361.00 (b) What was the net force (include the direction!) on the rocket during the 33 seconds after it malfunctioned? Stage 1 Vf=52i k uk a? V22 542 Stage 2 Ax = At + a st 2 (120-361.0)-2(28.84-4) (335) (33)2 =a2