Answer:
[tex]v_{f}[/tex] = 3.8 m/s
Explanation:
When the runner start the running, she is at rest. So the initial velocity of the runner is zero (0 m/s). And then she accelerates at a rate of 1.9 m/s² for 2.2 s. But we need to find the final velocity after t = 2 s when she starts the running. So, we take time equal to 2 second.
Given data:
Initial velocity = [tex]v_{i}[/tex] = 0 m/s
Acceleration = a = 1.9 m/s² (for 2.2 s after starting the race)
Time = t = 2 s
Final velocity = [tex]v_{f}[/tex] = ?
According to the First equation of motion
[tex]v_{f}[/tex] = [tex]v_{i}[/tex] + at
[tex]v_{f}[/tex] = 0 + (1.9)(2)
[tex]v_{f}[/tex] = 3.8 m/s
