Arocket moves upward, starting from rest with an acceleration of +30.0 m/s2 for 5.00 s. it runs out of fuel at the end of this 5.00 s and continues to move upward. how high does it rise? m

The distance covered by the rocket after fuel ran out is

Explanation:

Given that the rocket moves with an acceleration

time

Since the rocket starts from rest initial velocity  

The distance it travelled within this time is given by                                                                                                    

Velocity at this point is given by

Given that at this height it runs out of fuel but travels further. Here final velocity (maximum height), initial velocity  and time to zero velocity

Thus it travels more after fuel running out. The distance covered during this period is given