Kinetic Energy: The energy possessed by any body/object due to its motion with a velocity/speed v is called kinetic energy.
Potential Energy: The energy possessed by any object due to its position in any field is called potential energy.
(A). As we know that the running train have a velocity, that is it will be in a motion which posses some speed/velocity from that we can conclude that it will have a kinetic energy.
(B). Water in a dam is always falling from a height or we can say it is always falling from a higher place(let's say 2nd floor) to a lower place (let's say 1st floor).
So, due to its higher position it has potential energy, but when it comes down to a lower position all of its potential energy is converted into kinetic energy as the water gains the speed while falling.
(C). A stretched rubber band posses potential energy because as it is stretched it is in more tensed position from its regular position or unstretched position. In simpler way, the position of the rubber band is changed from unstretched to stretched, that's why it has potential energy.
(D). The question here states that the mango is falling, mango is not attached to the tree anymore. Hence, the falling mango will have a speed that is why we will say that it has kinetic energy. But due to the fact that before reaching the ground it have also some potential energy due to its position which is obviously decreasing. So it also posses some potential energy before completely touching to the ground.
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