Final answer:
To find the runner's speed, subtract the 7 meter head start from the 407 meter mark to get a distance of 400 meters. Divide this by the 50.0 seconds to calculate a speed of 8 m/s.
Step-by-step explanation:
The student is asking how to calculate the speed of a runner in a track race who starts 7 meters ahead of the first lane and crosses the 407-meter mark in 50.0 seconds. To calculate the speed, we use the formula:
Speed = Distance / Time
In this case, the runner has traveled 400 meters (407 - 7 = 400 meters, as the runner started 7 meters ahead). Dividing the distance by the time (400 meters / 50.0 seconds) gives us the runner's speed, which is 8 meters per second (m/s).