Final answer:
The acceleration of the ball is -700 m/s², so the correct answer is (D) -200 m/s².
Step-by-step explanation:
The acceleration of the ball can be found using the equation:
a = (vf - vi) / t
Where:
a is the acceleration,
vf is the final velocity,
vi is the initial velocity,
and t is the time.
In this case, the initial velocity of the ball is 8 m/s and the final velocity is -6 m/s (since it rebounds in the opposite direction).
Substituting these values into the equation:
a = (-6 m/s - 8 m/s) / 0.02 s
a = -14 m/s / 0.02 s
a = -700 m/s²
The acceleration of the ball is -700 m/s², so the correct answer is (D) -200 m/s².