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

  • Thread starter Thread starter wowdusk
  • Start date Start date
  • Tags Tags
    Dimensions Motion
Click For Summary

Homework Help Overview

The problem involves calculating the height of a building using kinematic equations related to projectile motion. A brick is thrown upward from the top of the building at an angle, and the discussion centers around determining the building's height based on the brick's flight parameters.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use the equation for vertical displacement but expresses confusion about the results and the interpretation of the height of the building versus the height of the brick's flight.

Discussion Status

Participants are engaged in clarifying the original poster's approach and addressing potential errors in calculations, particularly regarding the signs used in the equations. There is a focus on re-evaluating the assumptions about the direction of motion and the application of gravitational acceleration.

Contextual Notes

There is a mention of conflicting results between the original poster and a friend, indicating possible misunderstandings in the application of the equations or the interpretation of the results. The original poster is also grappling with the implications of the negative displacement calculated.

wowdusk
Messages
26
Reaction score
0

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
 
Last edited:
Physics news on Phys.org
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!
 
Last edited:
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.
 

Similar threads

Replies
7
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 31 ·
2
Replies
31
Views
4K
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 18 ·
Replies
18
Views
3K
Replies
3
Views
2K