Solve Exam Question: Wrong Relationship?

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SUMMARY

The discussion centers on a physics exam question regarding the time it takes for an object to fall from different heights. The user initially selected answer C (2t) based on a misapplied relationship, vtsinø=h, which did not account for acceleration due to gravity. The correct formula to determine the time of fall is derived from the equation x=1/2at², indicating that the time to fall from a height of 2h is actually 2t, confirming that the correct answer is D (4t) when considering the square of the time factor.

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Hi, i was doing practice questions for an exam in a couple of weeks and i had his question:
An object is dropped from height hand strikes the ground at time t, if the object is dropped from a height of 2h, which of the following represents the time it will take to strike the ground?
A. t
B. 1.4 t
C. 2t
D. 4t
---
I created the following relationship to answer the question: vtsinø=h, thus it is a direct relationship so i chose answer C. Turns that my answer was incorrect, can anyone tell me what did i do wrong??
Thanks
 
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Ah, now i know what i did wrong. the relationship i formulated did not factor in acceleration of the object and therefore is inadequate to account for all the variable affecting time. the correct relationship is x=1/2at(sq)
Merci
 

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