What Is the Height of the Building If a Ball Lands 35 Meters Away?

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SUMMARY

The problem involves calculating the height of a building from which a ball is thrown horizontally at a speed of 23.7 m/s, landing 35 meters away. Using the horizontal motion formula, the time of flight is determined to be 1.5 seconds. Subsequently, applying the vertical motion formula yields a height of 11.025 meters. Despite the calculations being verified, the initial response indicated that this answer was incorrect, prompting further investigation into potential errors in value selection or formula application.

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wellojello
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greetings :)

so I'm pretty stumped on this one question from masteringphysics:

A ball thrown horizontally at 23.7 m/s from the roof of a building lands 35.0 m from the base of the building. How high is the building?

i first listed all of my given values
---------------------------
v_x0 = 23.7 m/s
a = a_y = -g = -9.8 m/s^2
x = 35 m
x_0 = y_0 = 0
v_y0 = 0
a_x = 0
t = ?
y = ?
---------------------------

used the horizontal motion formula to find t

x = x_0 + v_x0 t + 1/2a_x t^2
t = 35/23.7 = 1.5s

and then the vertical motion formula to find y with the time i found above

y = y_0 + v_y0 t - 1/2gt^2
y = -1/2 (9.8)(1.5^2)
y = 11.025m

---------------------------

they said that this answer is "not quite", but i went over my calculations and still got 11.025 m. did i plug in the wrong values or used the wrong formulas?

thanks!
 
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i just realized I've posted this onto the wrong thread. my apologies
 

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