Distance Traveled by Car in 25sec
The distance traveled by a car can be calculated by integrating the velocity function over the given time interval. Since velocity is the integral of acceleration with respect to time, we need to first find the velocity function from the given acceleration function.

Finding the Velocity Function
To find the velocity function, we need to integrate the given acceleration function with respect to time. By integrating the acceleration function over time, we obtain the velocity function.

Calculating the Distance Traveled
Once we have the velocity function, we can calculate the distance traveled by integrating the velocity function over the given time interval. In this case, we are interested in finding the distance traveled in 25 seconds.

Explanation in Detail
1. First, integrate the given acceleration function to find the velocity function.
2. Then, integrate the velocity function over the time interval of 0 to 25 seconds to calculate the distance traveled by the car.
3. The distance traveled can be calculated using the formula: distance = ∫(velocity) dt, where the integral is taken over the time interval from 0 to 25 seconds.
4. Plug in the values of the velocity function into the formula and integrate over the given time interval to find the distance traveled by the car in 25 seconds.
By following these steps and calculations, you can determine the distance traveled by the car in 25 seconds based on the given acceleration function.