Final answer:
It would take approximately 47.16 seconds for a cannonball to fall to the depth of the Mariana Trench.
Step-by-step explanation:
To calculate the time it takes for an object to fall freely, we can use the equation for free fall: s = 0.5 * g * t^2, where s is the distance fallen, g is the acceleration due to gravity (9.8 m/s^2), and t is the time it takes to fall. In this case, we are given that the depth of the Mariana Trench is about 11,000 meters. Plugging this value into the equation, we find:
11000 = 0.5 * 9.8 * t^2
Solving for t, we get:
t^2 = 2224.49
t ≈ 47.16 seconds.
Therefore, it would take approximately 47.16 seconds for a cannonball to fall to the depth of the Mariana Trench.