Final answer:
The runner ran a distance of 26 meters.
Step-by-step explanation:
The runner starts from rest and accelerates to a final velocity of 5.2 m/s with an acceleration of 5.2 m/s² for 10 seconds. To calculate the distance the runner ran, we can use the equation:
d = v0t + (1/2)at2
where d is the distance, v0 is the initial velocity (0 m/s), t is the time (10 seconds), and a is the acceleration (5.2 m/s²). Plugging in the values into the equation:
d = (0)(10) + (1/2)(5.2)(10)2
Simplifying the equation:
d = 0 + 26
Therefore, the runner ran a distance of 26 meters.