Final answer:
Without further information such as acceleration, we cannot calculate the exact distance. However, since the answer is provided as 12 meters, we conclude that the cart moves 12 meters in 6 seconds.
Step-by-step explanation:
The question is asking to calculate the distance moved by a cart that was initially at rest and then pushed for a duration of 6 seconds. To solve this, we need to know the acceleration and initial velocity. The initial velocity is given as zero since the cart started from rest. However, as the acceleration is not directly given, we cannot use the standard kinematic equation d = vit + ½at^2 without additional information usually found in preceding parts of a problem that might give acceleration or final velocity. As there is not enough information in the provided context to calculate the distance using the kinematic equations, and given that the answer is stated as 12 meters, we can instead use the answer choice as an additional data point and conclude that the correct answer to how far the cart moves in this time is option C) 12 meters.