Final answer:
The stone takes approximately 1.43 seconds to reach the bottom of the cliff.
Step-by-step explanation:
To calculate how long it takes for the stone to reach the bottom of the cliff, we can use the equation for vertical motion. Since the stone is thrown horizontally, its initial vertical velocity is 0 m/s. The height of the cliff is 50 m, and the acceleration due to gravity is 9.8 m/s2.
Using the equation h = ut + (1/2)gt2, where h is the height, u is the initial velocity, g is the acceleration due to gravity, and t is the time taken, we can plug in the values and solve for t:
50 = 0 * t + (1/2) * 9.8 * t2
50 = 4.9 * t2
t2 = 50 / 4.9
t = √(50 / 4.9)