The kinetic energy of a body of mass m moving with speed v is

  • A. mv
  • B. half mv squared
  • C. mv squared
  • D. half mv

Explanation

Because the speed is squared, doubling it quadruples the kinetic energy, which is why stopping distances grow so sharply with speed. Momentum, by contrast, is mv and only doubles. The factor of one half comes from integrating the force over the distance during acceleration from rest.

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