Final answer:
The acceleration of the car is 2.625 m/s^2.
Step-by-step explanation:
The subject of this question is Physics and it is appropriate for High School level.
To find the acceleration of the racing car, we can use the equation of motion:
v^2 = u^2 + 2as
where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance.
Given that the initial velocity u is 10 m/s, the final velocity v is 25 m/s, and the distance s is 100 m, we can plug in these values into the equation:
25^2 = 10^2 + 2a(100)
625 = 100 + 200a
525 = 200a
a = 525/200
a = 2.625 m/s^2
Therefore, the acceleration of the car is 2.625 m/s^2.