Final answer:
The recoil velocity of the pitcher is 0.0875 m/s.
Step-by-step explanation:
To determine the recoil velocity of the pitcher, we can use the principle of conservation of momentum. The initial momentum of the system (pitcher + ball) is zero, since the pitcher is initially at rest. The final momentum of the system can be found using the equation p = m*v, where p is momentum, m is mass, and v is velocity.
Since the ball is thrown with a mass of 0.14 kg and a horizontal velocity of 50 m/s, its final momentum is (0.14 kg)(50 m/s) = 7 kg·m/s. To find the final velocity of the pitcher, we can rearrange the equation p = m*v to solve for v. Since the mass of the pitcher is 80 kg, the final velocity of the pitcher is (7 kg·m/s) / 80 kg = 0.0875 m/s.