Question

in which section does the car have the greatest acceleration? a from a to b, b from b to c, c from c to d, d from d to e (accompanied by a distance-time graph with distance (km) on x - axis and time (hours) on y - axis)

Explanation:

To determine where the car has the greatest acceleration, we analyze the slope of the distance - time graph (since acceleration is related to the rate of change of velocity, and velocity is the slope of the distance - time graph). A steeper slope indicates a greater rate of change of velocity (and thus greater acceleration in the case of speeding up or greater deceleration in the case of slowing down; here we consider the magnitude of the rate of change).

• Section A to B: The graph has a relatively steep slope (large change in distance over a small change in time).
• Section B to C: The slope is zero (distance is constant), so velocity is zero and acceleration is zero.
• Section C to D: The slope has a certain magnitude, but less than that of A - B.
• Section D to E: The slope has a magnitude, but less than that of A - B.

Answer:

A. from A to B