We can use the equation:
v = u + at
Where:
v = final velocity
u = initial velocity (in this case, u = 0 since the rocket is starting at rest)
a = acceleration (66 m/s2)
t = time (27 s)
So substituting the given values, we get:
v = 0 + (66 m/s2)(27 s)
v = 1,782 m/s
Therefore, the rocket's speed after it accelerates for 27 s is 1,782 m/s