Question

Поднимаясь в гору, лыжник проходит путь, равный 4 км, со скоростью 6,3 км/что.Спускаясь с горы со скоростью 20 м/с ,он проходит 2 км пути.Определите среднюю скорость лыжника на всем участке пути. ПОМОГИТЕ ПОЖАЛУЙСТА

Answer 1

T1 = 4000 м / 1,75 м/с = 2286 с
t2 = 2000 м / 20 м/с = 100 с
V = 4000 + 2000 / 2286 + 100 = 2,5 м/с
Ответ: 2,5 м/с

Answer 2

Calculation of Average Speed

To determine the average speed of the skier over the entire distance, we need to calculate the total time taken for both the uphill and downhill segments and then divide the total distance by the total time.

Let's calculate the time taken for each segment:

1. Uphill segment: - Distance: 4 km - Speed: 6.3 km/h

To calculate the time taken, we can use the formula: time = distance / speed.

Substituting the values, we get: time = 4 km / 6.3 km/h.

Calculating this, we find that the time taken for the uphill segment is approximately 0.6349 hours.

2. Downhill segment: - Distance: 2 km - Speed: 20 m/s

To calculate the time taken, we can again use the formula: time = distance / speed.

However, we need to convert the speed from m/s to km/h. Since 1 m/s is equal to 3.6 km/h, the speed in km/h is 20 m/s * 3.6 km/h = 72 km/h.

Substituting the values, we get: time = 2 km / 72 km/h.

Calculating this, we find that the time taken for the downhill segment is approximately 0.0278 hours.

Now, let's calculate the average speed:

- Total distance: 4 km + 2 km = 6 km - Total time: 0.6349 hours + 0.0278 hours = 0.6627 hours

To calculate the average speed, we can use the formula: average speed = total distance / total time.

Substituting the values, we get: average speed = 6 km / 0.6627 hours.

Calculating this, we find that the average speed of the skier over the entire distance is approximately 9.06 km/h.

Therefore, the average speed of the skier on the entire route is approximately 9.06 km/h.

Please note that the calculations provided are based on the information given and may not account for other factors such as acceleration, deceleration, or changes in terrain.