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After a night of watching too much American Ninja Warrior, a student (attempting to impress their...

After a night of watching too much American Ninja Warrior, a student (attempting to impress their friends) leaps off of a short wall, landing on the ground. If the student weighs 60kg, the wall is 1.82m tall, and the student launched themselves off of the top of the wall with a speed of 1.616m/s, what was their speed when they reached the ground? Include SI units.

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Answer #1

The initial height of the student is h=1.82m. The initial gravitational potential energy of the student is

The initial velocity of the student is v=1.616m/s. The initial kinetic energy of the student is

The total initial energy of the student is

When the student reached the ground, his gravitational potential energy is zero

Let v be the speed of the student when he reached the ground. The final kinetic energy of the student is

The total final energy of the student is

Assuming the loss of the total energy of the student is negligible,

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