To determine the speed at which a car must travel to cover a distance of 1/2 mile per second, we need to convert the units so they are consistent.
1 mile = 5280 feet 1 second = 1/3600 hour
So, to cover a distance of 1/2 mile per second, the car would need to travel at a speed of:
(1/2 mile) / (1 second) = (1/2) * (5280 feet) / (1/3600 hour)
Simplifying the equation:
= (1/2) * (5280 feet) * (3600/1) hour
= 2640 * 3600 feet/hour
= 9504000 feet/hour
Therefore, a car would need to travel at a speed of approximately 9,504,000 feet per hour to cover a distance of 1/2 mile per second.