Answer:
![\boxed {\boxed {\sf 4\ m/s^2}}](https://img.qammunity.org/2023/formulas/physics/college/ynn6ukk7ju2wzrqzjhvhj22t6pt6f3cbqa.png)
Step-by-step explanation:
Acceleration is the rate of change of an object with respect to time. It is the change in velocity over the time.
![a= (v_f-v_i)/(t)](https://img.qammunity.org/2023/formulas/physics/college/9aibx9tu0ipp7kwiboc1545f556oltlgwt.png)
The car starts at 10 meters per second and increases to 20 meters per second in 2.5 seconds.
= 20 m/s
= 10 m/s - t= 2.5 s
Substitute the values into the formula.
![a= ( 20 \ m/s - 10 \ m/s)/(2.5 \ s )](https://img.qammunity.org/2023/formulas/physics/college/i7cxyx8m7eibb8jeoovt5f8nimvywm7ksa.png)
Solve the numerator.
![a= (10 \ m/s)/(2.5 \ s)](https://img.qammunity.org/2023/formulas/physics/college/4f4ho7r6e8iskou07o15pyl64uqfyzef8k.png)
Divide.
![a= 4 \ m/s/s](https://img.qammunity.org/2023/formulas/physics/college/bw9h3k32rl4e7pj3egdsblnl82hevgx6gs.png)
![a= 4\ m/s^2](https://img.qammunity.org/2023/formulas/physics/college/jj56rknqiznzmjwwput9wff9nl1xqxe3d7.png)
The acceleration of the car is 4 meters per second squared.