Question

Самое быстрое животное – гепард; в течение одной минуты он способен развивать скорость 112 км/ч. Мастер спорта пробегает стометровку со скоростью 10 м/с. На какое расстояние он отстал бы от гепарда в забеге на 100 м? Автомобиль, двигаясь со скоростью 30 км/ч, проехал половину пути к месту назначения за 2 часа. С какой скоростью он должен продолжить движение, чтобы достичь цели и вернуться назад за то же время? Построить графики пути и скорости. Помогите пожалуйста срочно решить эти задания до завтра

Answer 1

Ответ:

на 2 заданий все не до конца заданы

Answer 2

The Sprinter and the Cheetah

To answer the first question, let's calculate the distance the athlete would be behind the cheetah in a 100-meter race.

The cheetah can reach a speed of 112 km/h, which is equivalent to 31.11 m/s. The sprinter, on the other hand, runs at a speed of 10 m/s.

To find out how long it takes for the cheetah to cover 100 meters, we can use the formula:

time = distance / speed

For the cheetah: time = 100 m / 31.11 m/s = 3.21 seconds

Now, let's calculate how far the sprinter would be behind the cheetah after 3.21 seconds.

The sprinter's distance covered can be calculated using the formula:

distance = speed x time

distance = 10 m/s x 3.21 s = 32.1 meters

Therefore, the sprinter would be approximately 32.1 meters behind the cheetah in a 100-meter race.

The Car's Journey

For the second question, let's determine the speed the car needs to maintain in order to return to the starting point in the same amount of time it took to reach the halfway point.

The car travels at a speed of 30 km/h and covers half the distance to the destination in 2 hours.

To find the total distance to the destination, we can multiply the speed by the time:

distance = speed x time = 30 km/h x 2 h = 60 km

Since the car has already covered half the distance, the remaining distance is 60 km - 30 km = 30 km.

To calculate the time it takes for the car to return to the starting point, we can use the formula:

time = distance / speed

time = 30 km / speed

Since we want the car to return in the same amount of time it took to reach the halfway point (2 hours), we can set up the equation:

2 hours = 30 km / speed

To solve for the speed, we can rearrange the equation:

speed = 30 km / 2 hours = 15 km/h

Therefore, the car needs to maintain a speed of 15 km/h in order to return to the starting point in the same amount of time it took to reach the halfway point.

Graphs of Distance and Speed

To visualize the journey of the car, we can create graphs of distance and speed over time.

Here is a graph showing the distance covered by the car over time:

|       .
|      .
|     .
|    .
|   .
|  .
| .
|_____________________________________
0   1   2   3   4   5   6   7   8   9   10   (time in hours)

The graph starts at the origin (0,0) and shows the distance increasing linearly over time until it reaches 30 km at 2 hours.

Here is a graph showing the speed of the car over time:

|       .
|      .
|     .
|    .
|   .
|  .
| .
|_____________________________________
0   1   2   3   4   5   6   7   8   9   10   (time in hours)

The graph shows a constant speed of 30 km/h throughout the journey.

I hope this helps! Let me know if you have any further questions.