To find the length of the runway needed for the airplane to take off, use the equation:

\[ \text{Length of Runway} = \frac{\text{Velocity}^2}{2 \times \text{Acceleration}} \]

Given:
\[ \text{Velocity} = 60 \, \text{m/s} \]

First, calculate acceleration using the formula:

\[ \text{Force} = \text{Mass} \times \text{Acceleration} \]

Given:
\[ \text{Force} = 60 \, \text{kN} = 60000 \, \text{N} \]
\[ \text{Mass} = 10000 \, \text{kg} \]

Calculate acceleration:
\[ 60000 \, \text{N} = 10000 \, \text{kg} \times \text{Acceleration} \]
\[ \text{Acceleration} = \frac{60000 \, \text{N}}{10000 \, \text{kg}} = 6 \, \text{m/s}^2 \]

Now, plug the acceleration value into the runway length equation:

\[ \text{Length of Runway} = \frac{(60 \, \text{m/s})^2}{2 \times 6 \, \text{m/s}^2} = 300 \, \text{m} \]

Thus, the airplane needs a runway of 300 meters to take off.