Answer:
562.5 m
Explanation:
The vertical position of the ball is given by
[tex]y=h+ut+\frac{1}{2}gt^2[/tex]
where
h is the height of the tower (the initial position of the ball)
u = 100 m/s is the initial velocity of the ball (positive because it points upwards)
g = -9.8 m/s^2 is the acceleration due to gravity (negative because it points downward)
t is the time
Substituting t =25 s and y = 0 (at t=25 s, the height of the ball is zero, since it has reached the base of the tower), we can re-arrange the equation to find h:
[tex]h=y-ut-\frac{1}{2}gt^2 = 0-(100 m/s)(25 s) - \frac{1}{2}(-9.8 m/s^2)(25 s)^2 = 562.5 m[/tex]
