In this problem, we are required to calculate the * distance covered *by a decelerating object before stopping given its

This is a Kinematics problem since it mentions **initial velocity, v_{0}**,

We'll follow the following simple steps!

- Identify the
,__target variable__, and Unknowns for each part of the problem—remember that__knowns__*only*(Δx,**3**of the**5**variables*v*_{0},*v*,_{f}*a*, and*t*)*are needed*to solve any kinematics problem. __Choose a UAM equation__with**only one unknown**, which should be our**target variable**.__Solve the equation__for the target variable, then substitute__known value____s__and__calculate__the answer.

We need to remember the four UAM (kinematic) equations in order to solve the problem. These are:

$\overline{){{\mathit{v}}}_{{\mathit{f}}}{\mathbf{=}}{{\mathit{v}}}_{{\mathit{o}}}{\mathbf{+}}{\mathit{a}}{\mathit{t}}\phantom{\rule{0ex}{0ex}}{\mathit{\Delta}}{\mathit{x}}{\mathbf{=}}{\mathbf{\left(}}\frac{{\mathit{v}}_{\mathit{f}}\mathbf{+}{\mathit{v}}_{\mathit{o}}}{\mathbf{2}}{\mathbf{\right)}}{\mathit{t}}\phantom{\rule{0ex}{0ex}}{\mathit{\Delta}}{\mathit{x}}{\mathbf{=}}{{\mathit{v}}}_{{\mathit{o}}}{\mathit{t}}{\mathbf{+}}\frac{\mathbf{1}}{\mathbf{2}}{\mathit{a}}{{\mathit{t}}}^{{\mathbf{2}}}\phantom{\rule{0ex}{0ex}}{{{\mathit{v}}}_{{\mathit{f}}}}^{{\mathbf{2}}}{\mathbf{=}}{{{\mathit{v}}}_{{\mathit{o}}}}^{{\mathbf{2}}}{\mathbf{+}}{\mathbf{2}}{\mathit{a}}{\mathit{\Delta}}{\mathit{x}}}$

A car slows down uniformly from a speed of 18.0 m/s to rest in 5.50 s. How far did it travel in that time?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Kinematics Equations concept. You can view video lessons to learn Kinematics Equations. Or if you need more Kinematics Equations practice, you can also practice Kinematics Equations practice problems.