Question

eoc prep for attributes of quadratic functions 4 of 17 possible points: 5.88 the function ( h(t) = -4.9t^2 + 8t + 5 ) represents jennifer’s height, ( h ), in meters above the water ( t ) seconds after she leaves the diving board. what is the value of ( h(2) ) and what does it mean in the situation? use desmos graphing calculator for test. do not use or open any other internet browser tabs.

Explanation:

Step1: Substitute $t=2$ into function

$h(2) = -4.9(2)^2 + 8(2) + 5$

Step2: Calculate each term sequentially

First, $2^2=4$, so $-4.9(4) = -19.6$; $8(2)=16$.

Step3: Sum all terms

$h(2) = -19.6 + 16 + 5$

Answer:

$h(2)=1.4$
This means 2 seconds after Jennifer leaves the diving board, her height above the water is 1.4 meters.