A rocket moves upward, starting from rest with an acceleration of 29.4 m/s2 for 5.65 s. It runs out of fuel at the end of the 5.65 s but does not stop. How high does it rise above the ground?

Vo = a * t = 29.4 * 5.65 = 166.1 m/s.

V^2 = Vo^2 + 2g*h
h=(V^2-Vo^2)/2g=(0-166.1^2)/-19.6=1408 m