A track athlete runs exactly one complete lap of the track, 400 m circumfrence, in 4.35x10^1 seconds. What is the speed of the athlete , to two significant figures, if they are assumed to run with a constant velocity for the entire time?

To find the speed of the athlete, we can use the formula:

Speed = Distance / Time

Given that the athlete runs one complete lap of the track, which has a circumference of 400 meters, the distance covered by the athlete is 400 meters.

The time taken by the athlete to complete one lap is 4.35 × 10^1 seconds.

Now we can substitute these values into the formula:

Speed = Distance / Time
Speed = 400 meters / 4.35 × 10^1 seconds

To divide by a number in scientific notation, we need to divide the significant figures separately from the powers of 10. So, we can rewrite the equation as:

Speed = (400 meters) / (4.35) × (10^1 seconds)

Now we can calculate the speed:

Speed ≈ 92 meters/seconds

Rounding to two significant figures, the speed of the athlete is approximately 92 meters/second.

To find the speed of the athlete, we can use the formula:

speed = distance / time

The distance covered by the athlete is one complete lap of the track, which has a circumference of 400 m. So the distance is 400 m.

The time taken by the athlete is given as 4.35 x 10^1 seconds, which is equal to 43.5 seconds (moving the decimal point one place to the right).

Now, we can substitute the values into the formula:

speed = 400 m / 43.5 s

Calculating this division gives us:

speed = 9.20 meters per second

Therefore, the speed of the athlete, to two significant figures, is 9.2 m/s.