The kinetic energy of an object is derived using which of the following equations of motion?

The correct answer is v² – u² = 2as.

Key Points

• The equation v² – u² = 2as is derived from the equations of motion and is used to calculate the kinetic energy of an object.
• In this equation, v represents the final velocity, u represents the initial velocity, a represents acceleration, and s represents displacement.
• The equation is crucial in mechanics and helps understand the relationship between velocity, acceleration, and displacement.
• By rearranging this equation, one can derive the formula for kinetic energy, which is given by KE = 1/2 mv².
• This equation is particularly useful in scenarios involving constant acceleration, such as free fall, projectile motion, and other uniformly accelerated motions.

 Additional Information

• a = (v – u) / t
  • This equation represents the definition of acceleration, where acceleration is the change in velocity over time.
  • It is not directly related to the calculation of kinetic energy but is essential in understanding motion.
• s = ut + ½ at²
  • This equation is used to calculate the displacement of an object under uniform acceleration.
  • It describes the relationship between initial velocity, acceleration, and time to find the displacement.
• v = u + at
  • This equation gives the final velocity of an object given its initial velocity, acceleration, and time.
  • It is one of the fundamental equations of motion but does not directly relate to kinetic energy.