How do I correctly calculate the height of a building using motion equations?

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To calculate the height of the building, the correct motion equation is delta y = (Vo * sin(25 degrees) * t) - (1/2 * g * t^2). The initial speed (Vo) is 15 m/s, the time (t) is 3 seconds, and the acceleration due to gravity (g) should be treated as -9.8 m/s^2 for downward motion. The confusion arose from misinterpreting the signs in the equation, leading to incorrect height calculations. Ultimately, the displacement indicates the brick falls 25 meters downward from the top of the building, clarifying the building's height.
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Homework Statement


A brick is thrown upward from the top of a building at an angle of 25 degrees to the horizontal. It's initial speed is 15 m / s. If the brick is in flight for 3 seconds, how tall is the building? Thanks for the help.

Homework Equations


The Attempt at a Solution


i thought i could use delta y = (Vo*sin*25 degrees)t - 1/2gt^2
but when i plugged everything in i got 63.1m, which is different from my friends 25m. I thought i could use this equation because it seems i have every piece of it and i just needed to plug it in. Did i just find how high the brick was from the ground? I don't know how to find the height of building...i'm confused
 
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Your equation is good! Your math is not so good. Recheck your numbers.
 
i still cannot find out what i am doing wrong. My Vo is 15m/s, sin*25 degrees, time is 3 sec, g is -9.8m/s^2

i get the same answer

Whoops...i had g=-9.8, and it had to be a positive in order for this to work.

Thank you!
 
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wowdusk said:
i still cannot find out what i am doing wrong. My Vo is 15m/s, sin*25 degrees, time is 3 sec, g is -9.8m/s^2

i get the same answer
You are getting mixed up on your plus and minus signs. If up is positive, then down is negative. I thought you had already built your minus sign into the equation, which should read y = v_{yi}t +1/2(g)t^2. Then plug in g =-9.8. and y comes out to -25, indicating the displacement after 3 seconds is 25 m downward from the top of the building.
 
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