(Solved): The superhero Green Lantem steps from the top of a tall building. He falls freely from rest to the ...

The superhero Green Lantem 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 \( t_{2}=1.00 \mathrm{~s} \) of his fall (Figure 1). What is the height \( h \) of the building? Take the direction of the positive \( y \)-axis upward and its origin at the starting point. You can divide Green Lantem's fall into two parts: from the top of the building to the halfway point and from the halfway point to the ground. You know that the second part of the fall lasts \( 1.00 \mathrm{~s} \). Decide what you would need to know about Green Lantern's motion at the halfway 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 you'l use together to find an expression for \( h \). Select a set of two equations that apply. View Avallable Hint(s) \( h=\frac{g\left(t_{4}+t_{3}\right)^{2}}{2} \), where \( t_{1} \) is the time to fly the first half \( v_{1}=\sqrt{g h} \), where \( v_{1} \) is the speed at the midpoint \( v_{1}+g t_{2}=\sqrt{2 g h} \), 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 Correct You have identified a possible set of equations that involve the target variable \( h \). To check your answer for \( h \), use one of the free-fall equations to find how long it takes Green Lantern to fall from the top of the building to half the height. Express your answer with the appropriate units. View Available Hint(s) Hint 1. Initial conditions * Incorrect; Try Again; 3 attempts remaining Part F To check your answer for \( h \), use one of the free-fall equations to find how long it takes Green Lantern to fall from the top of the bullding to the ground. Express your answer with the appropriate units.