Answer:
The average acceleration of the car is 2.143 meters per square second.
Explanation:
Let assume that car accelerates uniformly, in that case, we can obtain the value of acceleration by using the following equation of motion:
[tex]v = v_{o}+a\cdot t[/tex]
Where:
[tex]v_{o}[/tex] - Initial velocity, measured in meters per second.
[tex]v[/tex] - Final velocity, measured in meters per second.
[tex]a[/tex] - Acceleration, measured in meters per square second.
[tex]t[/tex] - Time, measured in seconds.
Now, we clear acceleration within expression:
[tex]a = \frac{v-v_{o}}{t}[/tex]
Initial and final velocities are now converted from kilometers per hour into meters per second:
[tex]v_{o} = \left(108\,\frac{km}{h} \right)\cdot \left(1000\,\frac{m}{km} \right)\cdot \left(\frac{1}{3600}\,\frac{h}{s} \right)[/tex]
[tex]v_{o} = 30\,\frac{m}{s}[/tex]
[tex]v = \left(135\,\frac{km}{h} \right)\cdot \left(1000\,\frac{m}{km} \right)\cdot \left(\frac{1}{3600}\,\frac{h}{s} \right)[/tex]
[tex]v = 37.5\,\frac{m}{s}[/tex]
If we know that [tex]t = 3.5\,s[/tex], then, the average acceleration of the car is:
[tex]a = \frac{37.5\,\frac{m}{s}-30\,\frac{m}{s} }{3.5\,s}[/tex]
[tex]a = 2.143\,\frac{m}{s^{2}}[/tex]
The average acceleration of the car is 2.143 meters per square second.
