Question

the motion of a toy car is represented by the graph below. in which time interval does the car have the greatest rate of acceleration? motion of a toy car distance (m) time (s)

Explanation:

Step1: Recall acceleration - distance/time relationship

Acceleration is the rate of change of velocity. On a distance - time graph, the steeper the slope, the greater the velocity. A change in slope indicates acceleration.

Step2: Analyze the slope of the graph

In the time interval 0 - 2 s, the slope is relatively constant (straight - line part), so acceleration is zero (constant velocity motion). In the interval 2 - 4 s, the slope is changing (curve), and in the interval 4 - 6 s, the object is at rest (slope = 0). The greatest change in slope (steepening of the curve) occurs in the 2 - 4 s interval.

Answer:

2 - 4 s