QuestionFind the height of a baseball after 3.5 seconds using the formula $-16 t^{2}+64 t+3$ .

Studdy Solution

STEP 1

Assumptions1. The height of the baseball at time $t$ is given by the equation $-16 t^{}+64 t+3$ . We are asked to find the height of the baseball after3.5 seconds

STEP 2

To find the height of the baseball after.5 seconds, we need to substitute $t=.5$ into the equation.
$Height = -16 t^{2}+64 t+$

STEP 3

Substitute $t=3.5$ into the equation.
$Height = -16 (3.5)^{2}+64 (3.5)+3$

STEP 4

Calculate the square of3..
$(3.)^{2} =12.25$

STEP 5

Substitute $12.25$ into the equation.
$Height = -16 (12.25)+64 (3.5)+3$

STEP 6

Multiply $-16$ by $12.25$ and $64$ by $3.5$ .
$Height = -196 +224 +3$

STEP 7

Add $-196$ , $224$ , and $3$ together to get the height of the baseball after3.5 seconds.
$Height = -196 +224 +3 =31$ The height of the baseball after3.5 seconds is31 feet.

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