Final answer:
To find how many feet a car will travel in one second at various speeds, we convert miles per hour to feet per second by dividing by 3600 and multiplying by 5280. A car will travel approximately 66 feet at 45 mph, 117 feet at 80 mph, 44 feet at 30 mph, and 80 feet at 55 mph during a 1-second reaction time.
Step-by-step explanation:
To determine how many feet a car will travel in 1 second at different speeds, we can use the relationship between speed in miles per hour and distance in feet. We know that 1 mile is equal to 5280 feet, and there are 3600 seconds in an hour. To find the distance in feet per second, we divide the speed in miles per hour by 3600 to convert to miles per second, and then multiply by 5280 to convert to feet per second.
For a car traveling at 45 mph, the calculation would be (45 miles/hour) / (3600 seconds/hour) × 5280 feet/mile. This equals 66 feet per second. Therefore, in 1 second the car will travel approximately 66 feet.
Using the same calculation for a car traveling at 80 mph, we get (80 miles/hour) / (3600 seconds/hour) × 5280 feet/mile, which equals about 117.33 feet per second. So in 1 second, the car will travel approximately 117 feet.
For 30 mph, the calculation is (30 miles/hour) / (3600 seconds/hour) × 5280 feet/mile, giving us 44 feet per second. The car will travel approximately 44 feet in 1 second.
Last, for a speed of 55 mph, we find (55 miles/hour) / (3600 seconds/hour) × 5280 feet/mile, which equals 80.33 feet per second. The car will travel approximately 80 feet in that 1-second reaction time.
In conclusion, a car's travel distance during a driver's reaction time of 1 second at 45 mph is 66 feet, at 80 mph is 117 feet, at 30 mph is 44 feet, and at 55 mph is 80 feet to the nearest whole foot.