Answer :

A 3,265 kg elephant must move at approximately 1.45 m/s to have the same kinetic energy as a 67 kg sprinter running at 10 m/s.

The kinetic energy (KE) of an object can be defined as the energy it possesses due to its motion, and it is given by the equation KE = rac{1}{2}mv^2, where m is the mass of the object and v is its velocity. To determine how fast a 3,265 kg elephant must move to have the same kinetic energy as a 67 kg sprinter running at 10 m/s, we need to set the kinetic energies equal and solve for the elephant's velocity.

The kinetic energy of the sprinter is:

KE_sprinter = rac{1}{2} imes (67 kg) imes (10 m/s)^2
KE_sprinter = rac{1}{2} imes 67 imes 100
KE_sprinter = 3350 Joules

We set this equal to the kinetic energy of the elephant: 3350 J = rac{1}{2} imes (3265 kg) imes v^2. Solving for v yields:

v = \\[sqrt{(2 imes 3350 J) / 3265 kg}\\]
v = \\[sqrt{6700 / 3265}\\] m/s
v approximately 1.45 m/s

Therefore, the elephant must move at approximately 1.45 m/s to have the same kinetic energy as the sprinter.

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