Solve Exam Question: Wrong Relationship?

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The discussion revolves around a physics exam question regarding the time it takes for an object dropped from a height of 2h to strike the ground. The initial answer chosen was C (2t), based on a direct relationship without considering acceleration. The participant later realized that their approach failed to incorporate the effects of acceleration on the object's motion. The correct formula for calculating the time is derived from the equation x = 1/2at², which accounts for the acceleration due to gravity. Understanding the influence of acceleration is crucial for solving such physics problems accurately.
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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
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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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