Final answer:
The distance over time graph for a continuously accelerated body is quadratic because the displacement corresponds to the area under a velocity-time curve, which increases quadratically with time.
Step-by-step explanation:
When a body is continuously accelerated, its velocity increases at a steady rate. If we represent this situation on a velocity versus time graph, we would see a straight line indicating constant acceleration, as the slope of this graph gives the acceleration. Now, considering the relationship between displacement and velocity, the graph that represents displacement over time for a body under constant acceleration is a quadratic curve because the displacement (distance) is the area under the velocity-time curve. This area forms a geometric shape that, when calculated, corresponds to a quadratic function in relation to time.
Therefore, the correct answer to the question "A body is continuously accelerated. What is the form of the graph that represents its distance over time?" is B) Quadratic.