Chapter 3.2, Problem 33SSC

To determine

Mathematical relation which is used to find the displacement.

Explanation of Solution

Given:

Final velocity, initial velocity and constant acceleration.

Formula Used:

Let the final velocity bev

Initial velocity be u

Constant acceleration bea .

According to third equation of motion.

  $v^2=u^2+2as$

Here, v is final velocity, u is initial velocity and a is acceleration.

Calculation:

Now, using the above equation.

  $\begin{array}{l}{v}^2=u^2+2as\\ 2as=v^2-u^2\\ s=\frac{v^2-u^2}{2a}\end{array}$

Conclusion:

So, by using third equation of motion $v^2=u^2+2as$ , displacement can be found.