Kinetic Energy is the energy by virtue of object's motion. In first two options, no motion has occurred, so there would be no energy, and kinetic energy can also be seen in a swinging both which is in last option in the question.
In short, Your Answer would be Option D) A swing moving back and forth
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The distance of tiger's leap from the base of rock is 5.58 m
It is a question of two dimensional motion
The time of motion in two dimensional motion is given by:
t= 
where y is the height and g is the acceleration due to gravity
y is given to be 7.5m and let us assume g to be 9.8 m/s^2
t = 
= 1.24s
Using time and speed,
We know that distance is the product of speed and time,
Distance= speed x time
speed is given to be 4.5 m/s
distance from the base of rock = 4.5 x 1.24
= 5.58m
Hence the distance of tiger's leap from the base of rock is 5.58 m
Disclaimer:
The acceleration due to gravity is assumed to be 9.8 m/s^2
For further reference:
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Answer:

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Explanation:
I just answer the second question
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12 increase When force is multiplied by the distance over which it is applied, that amount is given ... force * distance = work