Question #ccb93

1 Answer
Jake M.
Jan 17, 2018

42 m

Explanation:

The initial data presents this like a conservation of momentum problem, but that's all dealt with already. Really, this is just a kinematics problem.

The forces on the airplane mess is constant, so the acceleration is constant. Therefore, we can use familiar equations:

v = at + v_0
and
Delta x = 1/2 a t^2 + v_0 t

From the first, we get a:
v = 0 = a t + v_0 = a * (8.4 s) + (10 m/s)
a = (-10 m / s)/ (8.4 s) = -1.19 m/s^2
Therefore, using the second equation
Delta x = 1/2 (-1.19 m/s^2) (8.4 s)^2 + (10 m/s) * (8.4 s) = 42.0 m

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