Final answer:
To find the final speed of the car after 5.112 seconds, convert the starting speed to m/s, calculate the acceleration, and use the formula v = u + at. Finally, convert the final speed from m/s to mi/hr.
Step-by-step explanation:
To find the final speed of the car after 5.112 seconds, we can use the formula for uniform acceleration: v = u + at, where v is the final speed, u is the initial speed, a is the acceleration, and t is the time. Given that the starting speed is 48.11 mi/hr, we first need to convert it to m/s by multiplying it by 0.44704 (since 1 mi/hr = 0.44704 m/s). To calculate the acceleration, we can use the formula a = (v - u) / t. Substitute the known values and find the acceleration. Next, use the formula v = u + at to find the final speed after 5.112 seconds. Finally, convert the final speed from m/s to mi/hr by dividing it by 0.44704. By following these steps, you can find the final speed of the car after 5.112 seconds.