During a rElay race along a straight ROAD the 1st runner on a three person team runs D1 with a constant velocity v1. The runner then hands off the baton to the sEcond runner who runs d2 with a constant vElocity v2. The batton is then passed to the 3rd runner who completes the race by traveling D3 with a constant velocity V3
A:in terms of d and v find the time it takes for EACH RUNNER TO COMPLETE A SEGMENT OF THE RACE
RUNNER ONE:
RUNNER TWO:
RUNNER THREE:
B:WHAT IS THE TOTAL DISTANCE OF THE RACE TO COMPETE?
C:WHAT IS THE TOTAL TIME IT TAKES THE TEAM TO COMPETE THE RACE?
To find the time it takes for each runner to complete a segment of the race, we can use the formula:
Time = Distance / Velocity
A:
For Runner One:
Time taken by Runner One (t1) = d1 / v1
For Runner Two:
Time taken by Runner Two (t2) = d2 / v2
For Runner Three:
Time taken by Runner Three (t3) = d3 / v3
B:
The total distance of the race is the sum of the distances covered by each runner:
Total distance (D) = d1 + d2 + d3
C:
The total time it takes the team to complete the race is the sum of the time taken by each runner:
Total time (T) = t1 + t2 + t3
To calculate the total time and distance, we need to know the specific values of d1, d2, d3, v1, v2, and v3. Please provide these values to obtain the exact results.
A: To find the time it takes for each runner to complete their segment of the race, we can use the formula:
Time = Distance / Velocity
For Runner One:
Time taken = D1 / v1
For Runner Two:
Time taken = D2 / v2
For Runner Three:
Time taken = D3 / v3
B: To find the total distance of the race, we add the individual distances of each segment:
Total Distance = D1 + D2 + D3
C: To find the total time it takes the team to complete the race, we add the individual times of each runner:
Total Time = (D1 / v1) + (D2 / v2) + (D3 / v3)