The superhero Green Lantern steps from the top of a tall building. He falls freely from rest to the ground, falling half the total distance to the ground during the last $t_2=1\mathrm{.}00s$ of his fall $($Figure $1).$ What is the height $h$ of the building?

Part B

You are told that Green Lantern falls treely from rest. What does this imply about his initial velocity?

View Available Hint$($s$)$

The initial velocity is equal to $g$

The initial velocity depends on the height of the building.

The initial velocity has a small non$-$zero value, so he can start moving

The initial velocity is equal to zero.

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Correct

Part $C$

Take the direction of the positive $y-$axis upward and its origin at the starting point.

You can divide Green Lantern's fall into two parts: from the top of the building to the halfway point and from the hallway point to the ground. You know that the second part of the fall lasts $1\mathrm{.}00s.$ Decide what you would need to know about Green Lantern's motion at the halkway point in order to solve for the target variable $h.$ Then choose two equations, one for the first part of the fall and one for the second part, that youll use together to find an expression for $h$

Select a set of two equations that apply.

View Available Hint$($s$)$

$v_1+g{t}_2=\sqrt[\phantom{2}]{2gh},$ where $v_1$ is the speed at the midpoint

$v_1=g{t}_1,$ where $v_1$ is the speed at the midpoint and $t_1$ is the time to fly the first half

$\frac{h}{2}=\frac{g{t}_1^2}{2},$ where $t_1$ is the time to fly the first half

$h=\frac{g(t_1+t_2{)}^2}{2},$ where $t_1$ is the time to fly the first half

$v_1=\sqrt[\phantom{2}]{gh},$ where $v_1$ is the speed at the midpoint

Figure

$1$ of $1$

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