Question

For Problem 35, draw a complete pictorial representation. Do not solve these problems or do any mathematics.

A jet plane is cruising at 300 m/s when suddenly the pilot turns the engines up to full throttle. After traveling 4.0 km, the jet is moving with a speed of 400 m/s. What is the jet’s acceleration as it speeds up?

Short answer

The pictorial representation of the given situation is shown below

Step-by-step solution

Given information

The initial speed of a plane is $v_{0x}=300\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$.

Distance covered is $x_1=4.0km$

The final speed of the plane is role="math" localid="1648647715827" $v_{1x}=400\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$.

A motion diagram

A motion diagram of the given situation is shown below

The motion diagram shows the motion of the jet plane.

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

$$\begin{gathered} x_0=0m \\ {t}_0=0s \\ {v}_{0x}=300\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right. \\ {x}_1=4km \\ {v}_1=400\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right. \end{gathered}$$

Find

$a_x$