To solve this problem, we can use the kinematic equation that relates the initial velocity, acceleration, time, and distance:
d = v₀t + 1/2at²
where d is the total distance traveled, v₀ is the initial velocity, a is the acceleration, and t is the time.
Substituting the given values into the equation, we get:
d = (4.0 m/s)(5.0 s) + 1/2(3.0 m/s²)(5.0 s)²
Simplifying and solving for d, we get:
d = 20.0 m + 37.5 m
d = 57.5 m
Therefore, the total distance traveled by the ball during the 5.0-s period is 57.5 meters.
B 58 m (rounded)