Use the kinematic equation:

$\overline{){\mathbf{\u2206}}{\mathbf{y}}{\mathbf{=}}{{\mathbf{v}}}_{{\mathbf{0}}}{\mathbf{t}}{\mathbf{+}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{g}}{{\mathbf{t}}}^{{\mathbf{2}}}}$

Solve, substitute, and calculate t as follows:

$\begin{array}{rcl}\mathbf{105}& \mathbf{=}& \mathbf{(}\mathbf{-}\mathbf{5}\mathbf{.}\mathbf{40}\mathbf{)}\mathbf{t}\mathbf{+}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{(}\mathbf{9}\mathbf{.}\mathbf{81}\mathbf{)}{\mathbf{t}}^{\mathbf{2}}\\ \mathbf{4}\mathbf{.}\mathbf{905}{\mathbf{t}}^{\mathbf{2}}\mathbf{-}\mathbf{5}\mathbf{.}\mathbf{40}\mathbf{t}\mathbf{-}\mathbf{105}& \mathbf{=}& \mathbf{0}\end{array}$

A helicopter is ascending vertically with a speed of 5.40 m/s. At a height of 105 m above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground? [*Hint*: What is the v_{0} for the package?]

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Vertical Motion and Free Fall concept. You can view video lessons to learn Vertical Motion and Free Fall. Or if you need more Vertical Motion and Free Fall practice, you can also practice Vertical Motion and Free Fall practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Sulaiman's class at IOWA.