Answer:
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