$1.$ Scenario I $($Ignore air resistance$)$

A helicopter pilot accelerates vertically at until it reaches $50$ m off the ground. At that time a package is dropped from the helicoptor and the helicopter continues moving upward.

Determine:

a$)$ The helicopter reached the height of $50$ m in seconds.

b$)$ The package landed on the ground seconds from the time it was released.

c$)$ The speed of the package when it hits the ground is m$/$s$.$

Scenario II $($Ignore air resistance$)$

When the helicopter reached the $50$ m height it leveled off and flew parallel to the ground at a speed of $12$ m$/$s$.$ At that moment, the package was dropped.

Determine:

d$)$ The package landed m away on the ground from the spot directly below where it was dropped.

e$)$ It took seconds for the package to land on the ground below.