Answer:
a) W = - 3387525.12 J = - 3.39 MJ
b) F = - 19031.04 N = - 19 KN
Step-by-step explanation:
First, we need to find the deceleration of the rocket by using the third equation of motion:

where,
a = deceleration = ?
s = distance covered = 178 m
vf = final speed = 0 m/s
vi = 284 m/s
Therefore,

a = 226.56 m/s²
b)
Now, we can find the force by Newton's Second Law:

F = - 19031.04 N = - 19 KN
Here, negative sign shows braking force.
a)
For work done:

W = - 3387525.12 J = - 3.39 MJ