How Do You Solve the Projectile Motion Equations for Two Objects?

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SUMMARY

The discussion focuses on solving projectile motion equations for two objects, specifically using the equations of motion to calculate the height of a tower. The first object's equation is defined as x = (xi) - (vi)(t) - (1/2)(g)(t^2), with an initial height (xi) of 60 m. The second object's equation is x = (xi) + (Vi)(t) - (1/2)(g)(t^2), where the initial position (xi) is 0 m. The participants emphasize the importance of correctly plugging in known values and solving the system of equations to find the correct height, which is determined to be 40.9 m.

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graten2go
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Thank you for everyones help.
 
Last edited:
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Sorry but I didn't understand your solution. :( But my approach will be : Calculate distance traveled by them at any instant and add them up. There sum is equal to height of tower.
 
We have two variables, time and height, and two equations, one for the first object and one for the second.

The equation for the first object is x= (xi) -(vi)(t) - (1/2)(g)(t^2) , where xi= initial height= 60 m
The equation for the second object, since g is working against the motion, is x= (xi) + (Vi)(t)-(1/2)(g)(t^2), vi= initial velocity, and xi= initial position/height= 0 m


Plug in your knowns, and solve the system of equations.


------
On second look I see that you did this for your second attempt, and this is correct as far as I know-- 40.9 m. There must be a mistake in your first attempt.

Your first attempt is confusing, I can't really tell what you did. Maybe your position-time equation for the first object is incorrect. What equation did you use for your first object? Leave out units for now so I can see what you did.
 
Last edited:

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