Free-fall kinematics on a plane: Displacement from Window to Ground?

In summary, the problem involves a ball being thrown vertically upward from a window at a velocity of 10m/s and hitting the ground 5.0 seconds later. Using the given variables and the kinematic equations, the total displacement can be calculated to be 25m.
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Homework Statement


A ball is thrown vertically upward from a window at 10m/s. It hits the ground 5.0 seconds later. What is the height of the window from the ground?

Given
Vi = 10 m/s
Vf = 0
Δt = 5.0 m/s
[tex]Δa = -9.8 m/s^2 [/tex]

Find
Δd(w-g) = ?

Homework Equations



Δd = Vi(Δt) + [itex]Δa(Δt)^2[/itex]

And the other four "kinematic equations"

The Attempt at a Solution



Total displacement:

[tex]Δd = ((vi + vf)/2)(Δt)[/tex]

= (10/2)(5)
= 25 m
Not sure where to go from here and if I'm on the right track. Your help is greatly appreciated!

P.S. I apologize for the terrible formatting. I'll get it soon enough!
 
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  • #2
Question has been resolved outside of the forum. Admin, feel free to delete this thread.
 

1. What is free-fall kinematics on a plane?

Free-fall kinematics on a plane refers to the study of the motion of an object that is falling freely under the influence of gravity in a two-dimensional plane.

2. How is displacement calculated in free-fall kinematics on a plane?

Displacement in free-fall kinematics on a plane is calculated using the equation d = v0t + (1/2)gt2, where d is the displacement, v0 is the initial velocity, t is the time, and g is the acceleration due to gravity.

3. What is the significance of the window-to-ground distance in free-fall kinematics on a plane?

The window-to-ground distance is the vertical distance that an object falls from a certain height. It is important in free-fall kinematics as it is one of the factors that determines the object's displacement and velocity.

4. How does air resistance affect free-fall kinematics on a plane?

Air resistance can affect the acceleration and velocity of an object in free-fall kinematics on a plane. As an object falls, it experiences air resistance which can slow it down and decrease its acceleration. This can result in a longer time for the object to reach the ground and a shorter displacement.

5. How does the angle of the plane affect free-fall kinematics?

The angle of the plane can affect the acceleration and velocity of an object in free-fall kinematics. If the plane is inclined, the acceleration due to gravity will be less than the standard 9.8 m/s2, resulting in a longer time for the object to reach the ground and a shorter displacement. Additionally, the angle can also affect the object's trajectory and the shape of its path.

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