Final answer:
To determine how far from the base of the cliff the cannonball landed, we can use the equations for horizontal and vertical motion. By solving these equations, we can find that the cannonball lands approximately 14.9 seconds after being fired, covering a horizontal distance of about 2098.1 meters from the base of the cliff.
Step-by-step explanation:
To determine how far from the base of the cliff the cannonball landed, we can use the equation for horizontal motion: d = vx * t. Since the cannonball was fired horizontally, its initial vertical velocity is 0 m/s. Therefore, the time it takes for the cannonball to reach the ground is equal to the time it takes for an object to fall 100 m, which can be calculated using the equation d = (1/2) * g * t2, where g is the acceleration due to gravity (9.8 m/s2). By solving these equations, we can find that the cannonball lands approximately about 14.9 seconds after being fired, covering a horizontal distance of about 2098.1 meters from the base of the cliff.