To determine the distance required for the fighter jet to come to a complete stop, we can use the kinematic equation that relates initial velocity, acceleration, final velocity, and distance:
\[ v^2 = u^2 + 2a s \]
Where:
- \(v\) = final velocity (0 m/s, since the jet comes to a stop)
- \(u\) = initial velocity (270 m/s)
- \(a\) = acceleration (which will be negative since it's a deceleration, so -10.47 m/s²)
- \(s\) = distance (the value we want to find)
We can rearrange the equation to solve for \(s\):
\[ s = \frac{v^2 - u^2}{2a} \]
Substituting the known values into the equation:
\[ s = \frac{0^2 - (270)^2}{2 \times (-10.47)} \]
Calculating \(u^2\):
\[ (270)^2 = 72900 \]
Now plugging that value into the equation:
\[ s = \frac{0 - 72900}{2 \times (-10.47)} \] \[ s = \frac{-72900}{-20.94} \] \[ s = \frac{72900}{20.94} \] \[ s \approx 3475.54 , \text{m} \]
Thus, the distance required for the fighter jet to come to a complete stop is approximately \(3475.54\) meters.