Solving for Building Height and Time in Horizontal Projectile Motion

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Homework Help Overview

The problem involves a ball thrown horizontally from a building, requiring the determination of the building's height and the time it takes for the ball to reach the ground. The context is horizontal projectile motion.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the fixed and constant horizontal velocity of the ball and its implications for determining the time of flight. There is confusion regarding the use of the provided equation and the missing variables necessary for solving the problem.

Discussion Status

Some participants have offered guidance on how to approach the problem using the horizontal velocity, while others express uncertainty about the application of the equation and the correctness of their attempts. Multiple interpretations of the problem setup are being explored.

Contextual Notes

There is a noted lack of certain variables needed to apply the equations effectively, and participants are questioning the assumptions related to the motion in both horizontal and vertical directions.

harujina
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Homework Statement



A ball is thrown horizontally from the top of a building and lands 20.0m away from it. If the ball is initially thrown at a velocity of 10.0m/s, how high is the building? How long does it take for the ball to reach the ground?

Homework Equations



dv = Viv * t + 1/2a * t

The Attempt at a Solution



dh (horiz.distance) = 20.0m
Vh = 10.0m/s
Viv (vertical init. velocity) = 0m/s
a = -9.8m/s
dv (vert. distance) = ?
t = ?

I'm confused because I'm missing two of the variables which are needed in the equation that will solve this problem...? (dv and t)
 
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The horizontal velocity of the ball is fixed and constant during the whole time of flight. Knowing this, you can determine the time of flight.
 
Using the same equation as the one stated above? Because that one's giving me a totally wrong answer.
 
harujina said:
Using the same equation as the one stated above? Because that one's giving me a totally wrong answer.
Yes, the same equation, but of course in the horizontal direction a = 0. pls post your working.
 

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