(a) The stone moves by uniform accelerated motion, with constant acceleration

directed downwards, and its initial vertical position at time t=0 is 750 m. So, the vertical position (in meters) at any time t can be written as

(b) The time the stone takes to reach the ground is the time at which the vertical position of the stone becomes zero: y(t)=0. So, we can write

from which we find the time t after which the stone reaches the ground:

(c) The velocity of the stone at time t can be written as

because it is an accelerated motion with initial speed zero. Substituting t=12.37 s, we find the final velocity of the stone:

(d) if the stone has an initial velocity of

, then its law of motion would be

and we can find the time it needs to reach the ground by requiring again y(t)=0:

which has two solutions: one is negative so we neglect it, while the second one is t=11.78 s, so this is the time after which the stone reaches the ground.
The velocity of the ball when it was caught is 12.52 m/s.
<em>"Your question is not complete it seems to be missing the following, information"</em>,
find the velocity of the ball when it was caught.
The given parameters;
maximum height above the ground reached by the ball, H = 38 m
height above the ground where the ball was caught, h = 30 m
The height traveled by the ball when it was caught is calculated as follows;
y = H - h
y = 38 - 30 = 8 m
The velocity of the ball when it was caught is calculated as;

Thus, the velocity of the ball when it was caught is 12.52 m/s.
Learn more here: brainly.com/question/14582703
While travelling along a highway a drivers velocity is 9 m/s. In 12 seconds, the car has gone for 108 m.
<u>Explanation:</u>
The car travelling along the highway has a uniform velocity of 9 m/s. therefore to calculate the distance travelled by the car with the uniform velocity in 12 seconds, simple formula of velocity is to be employed.
Thereby, as we know that

The displacement is along the highway with uniform motion, therefore, distance=displacement
Given that,
Velocity = 9 m/s
Time = 12 s
Putting the values in the formula, we get,


Therefore, the car travels for 108 m in the 12 seconds while travelling along highway with 9 m/s of velocity.
Answer:
C
Explanation:
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