To find out how many meters the airplane can ascend in one second, we start with the ascent rate given:
The airplane ascends \(50 \frac{1}{2}\) meters in \( \frac{1}{3} \) of a second.
First, we convert \(50 \frac{1}{2}\) meters to an improper fraction:
\[ 50 \frac{1}{2} = 50 + \frac{1}{2} = \frac{100}{2} + \frac{1}{2} = \frac{101}{2} \text{ meters} \]
Now we find the ascent per second by finding out how many times \( \frac{1}{3} \) seconds fits into 1 second:
\[ \text{Number of } \frac{1}{3} \text{ seconds in 1 second} = 1 \div \frac{1}{3} = 3 \]
Next, we multiply the ascent in \( \frac{1}{3} \) of a second by the number of such intervals in 1 second:
\[ \text{Ascent in 1 second} = \text{Ascent in } \frac{1}{3} \text{ second} \times 3 \] \[ \text{Ascent in 1 second} = \frac{101}{2} \times 3 = \frac{101 \times 3}{2} = \frac{303}{2} \text{ meters} \]
Finally, we convert \( \frac{303}{2} \) to a mixed fraction:
\[ \frac{303}{2} = 151 \frac{1}{2} \text{ meters} \]
Therefore, the airplane can ascend 151.5 meters in one second.
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