Final answer:
To find the time it takes for the ball to reach the final velocity, we can use the equation of motion: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Given the values provided, the ball will take 4.0 seconds to reach the final velocity.
Step-by-step explanation:
To find the time it takes for the ball to reach the final velocity, we can use the equation of motion: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Given that the ball is initially moving at +0.20 m/s, the final velocity is +4.2 m/s, and the acceleration is +4.0 m/s2, we can rearrange the equation to solve for t:
t = (v - u) / a
Substituting the given values into the equation:
t = (4.2 m/s - 0.20 m/s) / 4.0 m/s2
t = 4.0 s
Therefore, it will take the ball 4.0 seconds to reach the final velocity.