5) A 50 kg single stage rocket (assume mass stays constant) accelerates directly upwards from the ground at rest for 15 s at which time the rocket motor is shut down. It continues to travel upwards and reaches a height of 10000 In above the ground and then falls back to the ground. Calculate the upwards acceleration (assumed constanl) of the rocket over the 15 s the rocket and the velocity at the instant the rocket motor shuts down. Calculate the time from launch to the top of the rocket's trajectory. Calculate the total time of ight