I need help with this question.
A car travels along a straight and level road at a constant speed of 6.2 m/s. Calculate how long (in seconds) it will take the car to travel a total distance of 262.4 miles along this road.
Time = Distance/Speed
If you are going to use the speed in m/s, the distance must be in meters.
262.4 miles is 422.2 km or 422,200 m. I assume you know how to that conversion.
Time (in seconds) = 422,200/6.2 = ___
6.2 m/s is pretty slow for a car. A good marathon runner can run that fast.
First you have to convert the miles into meters.
There are 5280 feet in a mile, then there are 12 inches in a foot, then 2.54 centimeters in an inch and then 100 centimeters in a meter. So you should get ((262.4)(5280)(12)(2.54))/(100)= 422291.8656 meters.
Speed= distance/time
6.2 m/s = 422291.8656 meters/ T (s)
T (s) = 422291.8656 meters/ 6.2 m/s
T (s) = 6811.59123 seconds
Kyle's last step is incorrect. Note the decimal point error.
To find the time it takes for the car to travel a certain distance, you can use the formula:
Time = Distance / Speed
First, let's convert the given distance from miles to meters, since the speed is expressed in meters per second.
1 mile = 1609.34 meters (approximately)
So, 262.4 miles is equal to 262.4 * 1609.34 meters.
Now, we can substitute the values into the formula:
Time = (262.4 * 1609.34 meters) / 6.2 m/s
Calculating the expression inside the parentheses:
Time = 421,479.616 meters / 6.2 m/s
Now, we can divide the total distance by the speed:
Time ≈ 68,060.61 seconds
Rounded to the nearest second, it will take the car approximately 68,061 seconds to travel a total distance of 262.4 miles at a constant speed of 6.2 m/s.