# A girl drops a ball off a cliff into the

A girl drops a ball off a cliff into the ocean. The polynomial $-16{t}^{2}+250$ gives the height, in feet, of the ball t seconds after it is dropped from a 250ft tall cliff. Find the height, in feet, after t=2 seconds.
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David Clayton
Step 1
The height as a function of time
$h\left(t\right)=250-16{t}^{2}$
Height after 2 sec
Step 2
$h\left(2\right)=250-16×{2}^{2}$
=186 feet
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deginasiba
Consider the expression $-16{t}^{2}+250$
To simplify the expression, by substitute the value of variable by given term.
So simplify as follow:
Substitute the value of variable t=2.
$-16{t}^{2}+250=-16\cdot {\left(2\right)}^{2}+250$ [Substitute the variable.]
=-16*4+250 [Write the value of square.]
=-64+250 [Multiply them.]
=186 [Simplify the term.]
Therefore, the simplified term is 186.