c. (5 points)

The booster rockets have the same velocity as that of Alantis (which you have already calculated in part (b)) when they are released at t=125s. While Alantis continues to accelerate upward because of the ignition of the main rocket, the extinguished booster rockets will move under the influence of gravity pull. For how long (in time) the booster rockets will continue to rise before they fall back to Earth?

Solution:

If we now set the clock so that t=0 when the booster rockets are released.