Answer:
a) Only the first root is physically reasonable. Therefore, both stones hit the water in 2.866 seconds, b) The initial velocity of the second stone is -16.038 meters per second, c) The speed of the first stone is 30.227 meters per second and the speed of the second stone is 34.338 meters per second.
Explanation:
a) The time after the release after the release of the first stone can be get from the following kinematic formula for the first rock:

Where:
- Final height of the first stone, measured in meters.
- Initial height of the first stone, measured in meters.
- Initial speed of the first stone, measured in meters per second.
- Time, measured in seconds.
- Gravity constant, measured in meters per square second.
Given that
,
,
and
, the following second-order polynomial is built:

Roots of the polynomial are, respectively:
and 
Only the first root is physically reasonable. Therefore, both stones hit the water in 2.866 seconds.
b) As the second stone is thrown a second later than first one, its height is represented by the following kinematic expression:

- Final height of the second stone, measured in meters.
- Initial height of the second stone, measured in meters.
- Initial speed of the second stone, measured in meters per second.
- Time, measured in seconds.
- Initial absolute time, measured in seconds.
- Gravity constant, measured in meters per square second.
Given that
,
,
,
and
, the following expression is constructed and the initial speed of the second stone is:


The initial velocity of the second stone is -16.038 meters per second.
c) The final speed of each stone is determined by the following expressions:
First stone

Second stone

Where:
- Initial and final velocities of the first stone, measured in meters per second.
- Initial and final velocities of the second stone, measured in meters per second.
If
and
, the final speeds of both stones are:
First stone


Second stone


The speed of the first stone is 30.227 meters per second and the speed of the second stone is 34.338 meters per second.