Question #ccb93

1 Answer
Jan 17, 2018

Answer:

#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 #