Two rockets with the same mass are accelerated. Rocket A accelerates twice as quickly as rocket B. Which statement is correct? A.) The motor in rocket A is four times as powerful as the motor in rocket B.
B.) The motor in rocket A is twice as powerful as the motor in rocket B.
C.) The motor in rocket A is half as powerful as the motor and rocket B.
D.) The motor in rocket A is half as powerful as the motor in rocket B.

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.