Given data:
* The final velocity of the ball is 0m/s.
* The acceleration of the ball is,
[tex]a=-0.4ms^{-2}[/tex]* The time taken by the ball is 8 s.
Solution:
By the kinematics equation, the initial velocity of the ball in terms of the final velocity, acceleration, and the time taken is,
[tex]v-u=at[/tex]where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time taken,
Substituting the known values,
[tex]\begin{gathered} 0-u=-0.4\times8 \\ -u=-3.2 \\ u=3.2\text{ m/s} \end{gathered}[/tex]Thus, the initial velocity of the ball is 3.2 m/s.
Hence, option D is the correct answer.
