Читать книгу Physics I For Dummies - Steven Holzner - Страница 72

Say you want to relate displacement, acceleration, and velocity without having to know the time. Here’s how it works. First, you solve the acceleration formula for the time:

Because displacement is and average velocity is when the acceleration is constant, you can get the following equation:

Substituting for the time, t, you get

After doing the algebra and simplifying, you get

Moving the 2a to the other side of the equation, you get an important equation of motion:

Whew! If you can memorize this one, you can relate velocity, acceleration, and displacement. Put this equation to work — you see it often in physics problems.