Final answer:
Using the kinematic equation v = u + at, the final velocity of the car after accelerating for 5.06 s is found to be approximately 10.29 m/s, which is closest to the listed option A: 10.45 m/s.
Step-by-step explanation:
The question involves calculating the final velocity of a car after accelerating for a certain period of time, given its initial velocity and acceleration rate. This is a classic problem in kinematics, a branch of physics that deals with the motion of objects.
To find the final velocity (v), we use the kinematic equation: v = u + at, where u is the initial velocity, a is the acceleration, and t is the time. Here, u = 6.96 m/s, a = 0.658 m/s², and t = 5.06 s.
Substituting the given values into the equation:
- v = 6.96 m/s + (0.658 m/s² × 5.06 s)
- v = 6.96 m/s + 3.32908 m/s
- v = 10.28908 m/s
Therefore, the car's velocity at the end of the acceleration is approximately 10.29 m/s, which when rounded, is closest to option A, 10.45 m/s.