The kinetic energy in joules of a 50-kilogram runner running at meters per second is modeled by the equation

25v²

Explanation:

The kinetic energy in joules of a 50-kilogram runner running at v meters per second is modeled by the equation

Solution:

Kinetic energy is the energy of a body due to its motion. The kinetic energy of a body is maintained until there is a change in velocity. Kinetic energy can also be defined as the work done in accelerating a body from rest to a specified velocity. The SI unit is in Joules (J)

The formula for kinetic energy is:

K.E = (1/2)mv²

where m is the mass of the object and v is the velocity of the object.

Given that m = 50 kg and v = v, hence:

K.E = (1/2) * 50 * v² = 25v²

K.E = 25v²

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