Two rockets with the same mass are. Accelerated. Rocket A accelerates twice as fast as Rocket B. Which statement is correct?

Question

The motor in rocket A is four times as powerful as the motor and in rocket B
The motor in rocket A Is twice as powerful as the motor in rocket B
The motor in rocket A is half as powerful as the motor in rocket B
The motor in rocket A is half as Powerful as the motor in rocket B

Answer 1

2 rockets
Rocket A:
m = 1 kg
a = 1 m/s^2
in 1 second
F = m a = 1 N
distance = 1/2 a t^2 = 1/2 meter
work done = force * distance = 1 * 1/2 = 1/2 Joule
power = work /second = 1/2 Watt
now
Rocket B
m = 1 kg
a = 2 m/s^2
in 1 second
F = m a = 2 N
distance = 1/2 a t^2 = 1/2 * 2 = 1 meter
work done = force * distance = 2 * 1 = 2 Joules
power = work /second = 2 Watts
looks like 4 times the power. Twice the force over twice the distance in a second.

Answer 2

What is the Answer?

Answer 3

The motor in rocket A is twice as powerful as the motor in rocket B