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The expression represents the distance in feet an object falls after seconds. The object is dropped from a height of 906 feet.


What is the height in feet of the object 2 seconds after it is dropped?


Write an expression representing the height of the object in feet seconds after it is dropped.

User Acdx
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1 Answer

4 votes

Answer:


842\ \text{ft}


y(t)=906-16t^2

Explanation:

Let
y be the height the object from the ground.


s be the initial height of the object = 906 ft


u = Initial velocity = 0


g = Acceleration due to gravity =
32\ \text{ft/s}^2


t = Time

The expression would be


y(t)=s-ut-(1)/(2)gt^2\\\Rightarrow y(t)=906-16t^2

The required expression is
y(t)=906-16t^2

At
t=2\ \text{s}


y(2)=906-16* 2^2\\\Rightarrow y(2)=842\ \text{ft}

The height of the object after 2 seconds of falling is
842\ \text{ft}.

User Anurag Prashant
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