A rocket moves upward from rest with an acceleration of 29.4 m/s2 for 4 seconds. It then runs out of fuel and continues to move upward. Neglecting any air resistance, how high will it rise?

1 answer

under power
h = 14.7*4^2 = 235.2
v = 29.4*4 = 117.6

on a ballistic path,
h = 235.2 + 117.6t - 4.9t^2
max height is at t = 117.6/9.8
plug that into h to find the height.