Final answer:
The height of the cliff is approximately 42.8 meters.
Step-by-step explanation:
To calculate the height of the cliff, we can use the equation for vertical motion: h = (1/2)gt^2, where h is the height of the cliff, g is the acceleration due to gravity (9.8 m/s^2), and t is the time it takes for the rock to hit the water.
In this case, the time is given as 2.93 seconds. Plugging this into the equation, we have:
h = (1/2)(9.8 m/s^2)(2.93 s)^2
Calculating the result, we find that the height of the cliff is approximately 42.8 meters.