Question

For Problem 34, draw a complete pictorial representation. Do not solve these problems or do any mathematics. |

A Porsche accelerates from a stoplight at $5.0m/s^2$for five seconds, then coasts for three more seconds. How far has it traveled?

Short answer

The pictorial representation of the given situation is shown below

Step-by-step solution

Given information

The acceleration of a car is $a_0=5.0\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s^2$}\right.$.

The time at which the car accelerates is $t_1=5s$.

The time for which the car coasts is$t_2=8s$.

A motion diagram

A motion diagram of a given situation is shown below.

The motion diagram shows the accelerating phase followed by the coasting phase.

Pictorial representation

As the motion is along the horizontal direction, the appropriate coordinate system is an x-axis. The pictorial representation of the given situation with the symbols is shown below

Known and unknown quantities

The table below shows the known and unknown quantities.

Known

$$\begin{gathered} x_0=0m{a}_1=0\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s^2$}\right. \\ {v}_0=0\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.t_1=5s \\ {t}_0=0s{t}_2=8s \\ {a}_0=5.0\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s^2$}\right. \end{gathered}$$

Find

x2