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?
the initial velocity of the runner was 4 m/s, and the runner stopped after 8 seconds.
the initial velocity of the runner was 8 m/s, and the runner stopped after 4 seconds.
the initial acceleration of the runner was 4 m/s², and the runner stopped after 8 seconds.
the initial acceleration of the runner was 8 m/s², and the runner stopped after 4 seconds.

Explanation:

Step1: Analyze the y - intercept

The y - intercept of the velocity - time graph gives the initial velocity. When \(t = 0\), \(f(t)=4\) m/s.

Step2: Analyze the x - intercept

The x - intercept of the velocity - time graph gives the time when the velocity is zero (runner stops). When \(f(t)=0\), \(t = 8\) s.

Answer:

The initial velocity of the runner was 4 m/s, and the runner stopped after 8 seconds.