Question

7 mark for review a fox runs in a straight line with motion represented by the graph of the foxs position as a function of time shown. which of the following statements correctly compares the magnitudes of the acceleration, $a_1$ and $a_2$, at times $t_1$ and $t_2$, respectively? a $a_1 < a_2$ b $0 < a_1 = a_2$ c $a_1 > a_2 = 0$ d $a_1 > a_2 > 0$

Explanation:

Step1: Recall acceleration - position graph relationship

Acceleration is the second - derivative of position with respect to time. On a position - time graph, the curvature indicates acceleration. A more curved graph implies a non - zero acceleration. A straight - line graph implies zero acceleration.

Step2: Analyze the graph at \(t_1\) and \(t_2\)

At \(t_1\), the position - time graph is curved, so \(a_1>0\). At \(t_2\), the position - time graph is a straight line, so \(a_2 = 0\).

Answer:

C. \(a_1>a_2 = 0\)