An 18-year-old runner can complete a 10.0-km course with an average speed of 4.39 m/s. A 50-year-old runner can cover the same distance with an average speed of 4.27 m/s. How much later (in seconds) should the younger runner start in order to finish the course at the same time as the older runner?
You must be in my physics class lol
To determine how much later the younger runner should start in order to finish the course at the same time as the older runner, we need to first find the time it takes for each runner to complete the course.
We can calculate the time using the formula:
Time = Distance / Speed
For the 18-year-old runner:
Distance = 10.0 km = 10,000 m
Speed = 4.39 m/s
Time1 = 10,000 m / 4.39 m/s
For the 50-year-old runner:
Distance = 10.0 km = 10,000 m
Speed = 4.27 m/s
Time2 = 10,000 m / 4.27 m/s
Now, we need to find the time difference between the two runners. We subtract the time it takes for the older runner from the time it takes for the younger runner:
Time difference = Time1 - Time2
Finally, we multiply the time difference by -1 to get a positive value indicating how much later the younger runner should start:
Time difference (in seconds) = (Time1 - Time2) * -1
By plugging in the values and calculating, we can find the answer to the question.