Calculate Average Speed: 5 Laps on a 300-Meter Radius Circular Track

To solve this problem, we'll go through the following steps:

• Calculate the circumference of the circular park.
• Determine the total distance Ivan runs.
• Find Ivan's average speed.

Step 1: Calculate the circumference of the circular park.
The formula for the circumference of a circle is $C = 2\pi r$, where $r$ is the radius.
Given $r = 300$ meters, $C = 2\pi \times 300 = 600\pi$ meters.

Step 2: Determine the total distance Ivan runs.
Ivan completes 5 laps, so the total distance $D$ is given by:
$D = 5 \times 600\pi = 3000\pi$ meters.

Step 3: Find Ivan's average speed.
The formula for average speed is $v = \frac{\text{total distance}}{\text{total time}}$.
Total time = 35 minutes.
Average speed $v = \frac{3000\pi}{35} \approx 269.14$ meters per minute.

Therefore, Ivan's average speed is $269.14$ meters per minute.