To calculate the velocity with which the ball is thrown, we can use the formula:
v = sqrt(2gh)
where v is the velocity, g is the acceleration due to gravity (9.8 m/s^2), and h is the height the ball reached (9.8 m). Substituting these values, we get:
v = sqrt(2 x 9.8 x 9.8) = 19.6 m/s
Therefore, the velocity with which the ball is thrown is 19.6 m/s.
To calculate the initial kinetic energy of the ball, we can use the formula:
KE = 0.5mv^2
where KE is the kinetic energy, m is the mass of the ball (0.1 kg), and v is the velocity we just calculated (19.6 m/s). Substituting these values, we get:
KE = 0.5 x 0.1 x (19.6)^2 = 19.2 J
Therefore, the initial kinetic energy of the ball is 19.2 Joules.