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.

socorraob
2022-01-15
Answered

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

Answered 2022-01-16
Author has **36** answers

Step 1

The height as a function of time

$h\left(t\right)=250-16{t}^{2}$

Height after 2 sec

Step 2

$h\left(2\right)=250-16\times {2}^{2}$

=186 feet

The height as a function of time

Height after 2 sec

Step 2

=186 feet

deginasiba

Answered 2022-01-18
Author has **31** answers

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.

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*4+250 [Write the value of square.]

=-64+250 [Multiply them.]

=186 [Simplify the term.]

Therefore, the simplified term is 186.

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