Final answer:
The distance traveled by the car during the 5-second acceleration is approximately 33.5 meters.
Step-by-step explanation:
The distance a car travels during constant acceleration can be calculated using the formula:
d = (1/2) * a * t^2
Where d is the distance, a is the acceleration, and t is the time. In this case, the acceleration is 60 mph/5 seconds, which is equivalent to 12 mph per second. Converting this to meters per second squared (m/s²), we get:
a = (12 mph/s) * (1609.34 m/1 mile) * (1/3600 s/1 hour) ≈ 5.36 m/s²
Plugging in the values, we get:
d = (1/2) * 5.36 m/s² * (5 s)^2 = 33.5 m
Therefore, the car travels approximately 33.5 meters during this time.