To determine the speed of the 747 jetliner 8.27 seconds later, we can use the equation:
\(v_f = v_i + at\),
where:
\(v_f\) is the final velocity,
\(v_i\) is the initial velocity,
\(a\) is the acceleration,
and \(t\) is the time.
In this case, the jetliner is slowing down, so the acceleration will be negative. The net braking force is not provided, so we cannot calculate the acceleration directly. However, we can use another equation that relates force, mass, and acceleration:
\(F = ma\),
where:
\(F\) is the net braking force,
\(m\) is the mass of the jetliner,
and \(a\) is the acceleration.
We need to rearrange this equation to solve for the acceleration \(a\):
\(a = \frac{F}{m}\).
Now, we have all the necessary information to calculate the acceleration. Let's calculate it first:
\(a = \frac{F}{m} = \frac{F}{3.42 \times 10^5 \, \text{kg}}\).
Unfortunately, the net braking force is not provided, so we cannot calculate the acceleration or the subsequent velocity.