Final answer:
Using the equation of motion v = u + at and given that the initial velocity (u) is 0 and the acceleration (a) is 3.0 m/s^2 for a time (t) of 0.50 seconds, the final velocity (v) that the runner will reach is 1.5 m/s.
Step-by-step explanation:
The question involves a basic physics concept related to kinematics, specifically the calculation of final velocity using the equation of motion for constant acceleration. The equation we'll use is v = u + at, where v is the final velocity, u is the initial velocity (which is zero for a runner starting from rest), a is the acceleration, and t is the time.
Since the runner starts from rest, the initial velocity u is 0 m/s. The runner accelerates at 3.0 m/s2, and the time is 0.50 s. Substituting these values into the equation, we get:
v = 0 m/s + (3.0 m/s2)(0.50 s)
v = 1.5 m/s
Therefore, the runner will reach a speed of 1.5 m/s in 0.50 seconds.