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(02 03 mc) the graph shows the velocity f(t) of a runner during a certa…

Question

(02 03 mc) the graph shows the velocity f(t) of a runner during a certain time interval. which of the following describes the intercepts on the graph? a the initial acceleration of the runner was 8 m/s², and the runner stopped after 6 seconds. b the initial acceleration of the runner was 6 m/s², and the runner stopped after 6 seconds. c the initial velocity of the runner was 8 m/s, and the runner stopped after 8 seconds. d the initial velocity of the runner was 6 m/s, and the runner stopped after 8 seconds.

Explanation:

Step1: Identify initial - velocity

The initial - velocity is the velocity at time \(t = 0\). Looking at the graph, when \(t=0\), \(v(0)=6\ m/s\).

Step2: Identify time of stop

The runner stops when the velocity \(v = 0\). From the graph, the velocity becomes \(0\) at \(t = 8\ s\).

Answer:

d. The initial velocity of the runner was 6 m/s, and the runner stopped after 8 seconds.