529.2 J
they hit the ground at same instant
529.2 J
They would land in the same order in which I dropped them. If I dropped them all at the same instant,then they would all land at the same instant. The same can be said for a truck, a cinder block, and a hair.
Ignoring any effects due to air resistance, the speed of the stone is zero at the instant it's dropped, and increases steadily to 78.98 meters per second when it hits the ground. The velocity is directed downward throughout the experiment.
mass x velocity = momentum
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Kinetic energy is energy. It can be transformed to other types of energy. And as energy it can be applied to do work. If an elastic ball is dropped from a given height, it will develop kinetic energy at the expense of its potential energy. An instant before collision with the floor, its kinetic energy amounts to the original potential energy of the ball with respect to the floor. (if we can neglect air resistance).
At the top of the jump, your speed is changing from upward to downward speed, so there's an instant there where your speed is zero. -- Potential energy is max, because your height is max. -- Kinetic energy is zero, because your speed is zero.
They would both SPLAT on the ground at the same instant.
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Ignoring air resistance, the horizontal component of velocity has no connection with, and no effect on, the vertical component. Two bodies that leave the top of the building simultaneously with the same vertical velocity hit the ground at the same time, regardless of their horizontal velocities or their masses. That's the same as saying that a bullet fired horizontally from a gun and a bullet or a stone dropped from the gun's muzzle at the same instant hit the ground at the same instant. Strange but true.