In this problem, you will use your prior knowledge to derive one of the most important relationships in mechanics: the work-energy theorem. We will start with a special case: a particle of mass m moving in the x direction at constant acceleration a. During a certain interval of time, the particle accelerates from v_initial to v_final, undergoing displacement s given by s=x_{\rm final}-x_{\rm initial}.(adsbygoogle = window.adsbygoogle || []).push({});

the problems asks me to find the acceleration :Find the acceleration a of the particle.

Express the acceleration in terms of v_initial, v_final, and s.

this is my answer: (v_final-v_initial)^2/s

but it says that: Your answer is close. One problem with your answer is that it is always positive, but acceleration can also be negative. ?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Deriving the work-energy theorem

**Physics Forums | Science Articles, Homework Help, Discussion**