Final answer:
The direction of the acceleration of the vehicle cannot be determined due to lack of sufficient information, like specific velocities or time intervals. A linear displacement versus time graph indicates that acceleration is zero as there's no change in velocity. So, the correct answer is: B)
Step-by-step explanation:
When a vehicle changes direction while traveling from x0 = 0 m to x = 100 m, the information provided is insufficient to determine acceleration at that instant. To calculate acceleration, you need to know the velocity of the vehicle at different points in time or the amount of time it takes to travel from one point to another. As such, the correct answer is: B) The direction cannot be determined from the information given.
If a plot of displacement versus time is linear, it indicates that the acceleration is zero, because velocity is constant. Linear displacement versus time means consistent speed with no acceleration.
For example, if Car C is moving with a constant speed and there is no change in its velocity, its acceleration must be zero. Similarly, even if Car E is slowing down in a negative direction, showing that its acceleration is positive, these scenarios require specific speed or time changes to demonstrate those accelerations. In the question given, no such detail is provided.