Final answer:
The distance traveled after accelerating at 2 m/s² for 5 seconds is calculated using the equation d = 1/2 * a * t². Substituting the given values, the distance comes out to be 25 meters.
Step-by-step explanation:
The student's question involves calculating the distance traveled by an object that begins at rest and accelerates at a uniform rate. The formula to find the distance (d) in such a scenario is d = 1/2 * a * t² where 'a' is the acceleration and 't' is the time. Plugging in the values given in the question:
d = 1/2 * 2 m/s² * (5 s)²
d = 1/2 * 2 m/s² * 25 s²
d = 1 m/s² * 25 s²
d = 25 meters
Therefore, the distance the student has run after accelerating at a rate of 2 m/s² for 5 seconds is 25 meters, which corresponds to option (c).