Question

Question #ccb93

Answer 1

`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`