Final answer:
The height of the cliff is 9.15 meters.
Step-by-step explanation:
To find the height of the cliff, we can use the equation of projectile motion. Since the cannonball is launched horizontally, its initial vertical velocity is 0 m/s. The time it takes for the cannonball to fall can be found using the equation:
t = sqrt((2 * h) / g)
Where t is the time, h is the height, and g is the acceleration due to gravity (9.8 m/s^2).
Plugging in the values, we get:
2.35 = sqrt((2 * h) / 9.8)
Squaring both sides of the equation, we have:
(2.35)^2 = (2 * h) / 9.8
Simplifying the equation, we get:
h = ((2.35)^2 * 9.8) / 2 = 9.15 m
Therefore, the height of the cliff is 9.15 meters.