Final answer:
The maximum height reached by the ball is approximately 44.2 meters.
Step-by-step explanation:
To find the maximum height reached by the ball, we can use the equations of motion.
The initial velocity of the ball is given as 29.4 m/s. When the ball reaches its maximum height, its final velocity is 0 m/s because it momentarily stops moving before falling back down.
Using the equation v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration (which is -9.8 m/s^2 in this case), and s is the displacement, we can find the displacement at the maximum height:
s = (0^2 - (29.4)^2) / (2 * -9.8) = 44.2447 m
Therefore, the maximum height reached by the ball is approximately 44.2 meters.