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1. The problem statement, all variables and given/known data

I have attached the original problem in a PDF file. I have to read a murder mystery story and pull information from it to plug into kinematic equations and find out who commited the murder.

Important information that I have pulled out of the story:

--No air resistance

--Each room is has a 14ft high ceiling with 2 feet between each floor.

--Bloodstains are 18ft from the entrance to the building

Victim:

1. Adam Able. 5'11. 160 lbs.

Suspects:

1. Adrianna Myers (Room 356)

2. Steven Caine (Room 852)

3. Mark Johnson (Room 1956)

4. Stanley Michaels (Room 2754)

2. Relevant equations

Kinematic Equations:

1x. V=Vo+at

2x. X=Xo+1/2(V+Vo)t

3x. X=Xo+Vot+1/2at^2

4x. V^2=Vo^2+2a(X-Xo)

1y. Y=Vo+at

2y. Y=Yo+1/2(V+Vo)t

3y. Y=Yo+Vot+1/2at^2

4y. V^2=Vo^2+2a(Y-Yo)

Xo & Yo = Initial Position

X & Y = Final Position

Vo = Initial Velocity

V = Final Velocity

A = Acceleration

T = time

3. The attempt at a solution

Knowing that each floor is 16ft total, I use the person's room number to find out high up the are. I know that in the end I need to figure out how high up Adam fell from and compare that to the suspects rooms to know who killed him. Note: I've also converted everything to meters

The first thing I did was solve for time using the x-axis equations.

Xo=0

X= 5.4864 m (18ft where bloodstains were)

Vo = 0 m/s

V = 2 m/s (You'll notice in the attached file that our teacher gives a hint stating that if we were in lab and pushed our partner hard, we'd find that they'd have a speed of 2 m/s)

a = ?

t = Find!

I plugged all of this into Equation 2x and got 5.864 seconds. (I believe this is wrong after going further, I'm just explaining what I did.

The second thing I did was plugged in the time to find out Yo.

Yo = Find!

Y = 0 m

Vo = 0m/s

V = ?

a = -9.81 m/s (Gravity)

t = 5.4864 s

I plugged this into Equation 3y and got 25.24 m. This is seeming way off.

I know this is long. This is a take-home problem for my exam tomorrow. I'm not asking anyone for answers. I just need help going in the right direction. This is my first physics class ever and its turning out to be way harder than I expected and I have no friends takign classes like mine.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Murder Mystery Solution using Kinematic Equations

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