Answer:
<em>The car will travel 541.67 m</em>
Explanation:
<u>Uniform Acceleration
</u>
When an object changes its velocity at the same rate, the acceleration is constant.
The relation between the initial and final speeds is:

Where:
vf = Final speed
vo = Initial speed
a = Constant acceleration
t = Elapsed time
The acceleration can be computed by solving for a:

And the distance traveled is calculated as follows:

The car travels during a time of t=30 s, and its speed changes from vo=50 Km/h to vf=80 Km/h.
Converting the speeds to m/s:
vo=50 Km/h * 1000/3600 = 13.89 m/s
vf=80 Km/h * 1000/3600 = 22.22 m/s
Both numbers are shown with a 2-decimal precision but they will be used with higher accuracy in further calculations.
Calculating the acceleration:


Now for the distance:


x = 541.67 m
The car will travel 541.67 m