Final answer:
The TGV train will travel 6300 meters or 6.3 kilometers in 45 seconds at a speed of 140 m/s, and you will travel a distance of 4.165 meters while sneezing for 0.5 seconds at a speed of 30 km/h.
Step-by-step explanation:
To answer the question, how far will the TGV train travel in 45 s if its speed is 140 m/s, we use the formula for distance traveled under constant speed, d = v * t, where d is distance, v is velocity, and t is time. Substituting the given values produces d = 140 m/s * 45 s = 6300 m or 6.3 km.
For the second question, if you are moving at 30 km/h and a sneeze causes you to close your eyes for 0.5 s, how far will you travel in that time, we first convert the velocity from km/h to m/s: 30 km/h = (30 * 1000 m) / (3600 s) = 8.33 m/s. Then, we find the distance using d = v * t which gives us d = 8.33 m/s * 0.5 s = 4.165 m.