Answer:
[tex]\boxed {\boxed {\sf a= 5 \ m/s^2}}[/tex]
Explanation:
We want to calculate the acceleration of the car. Acceleration is the change in velocity over the change in time.
[tex]a= \frac{ \Delta v}{\Delta t}[/tex]
The change in velocity is the difference between the final velocity and the initial velocity.
[tex]a= \frac{v_f-v_i}{\Delta t}[/tex]
The car speeds up from 80 meters per second to 90 meters per second. Therefore,
Substitute these values into the formula.
[tex]a= \frac {90 \ m/s - 80 \ m/s}{2 \ s}[/tex]
Solve the numerator and subtract.
[tex]a= \frac{10 \ m/s}{2 \ s}[/tex]
Divide.
[tex]a= 5 \ m/s/s[/tex]
[tex]a= 5 \ m/s^2[/tex]
The acceleration of the car is 5 meters per second squared.
