Question

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 100 models the data in the table. A 2-column table with 5 rows. The first column is labeled time (seconds) with entries 0, 0. 5, 1, 2001. 5, 2. The second column is labeled height (feet) with entries 100, 96, 84, 65, 37. For which value of x would this model make the least sense to use? –2. 75 0. 25 1. 75 2. 25.

Answer 1

The given model would make the least sense to use for x=-2.75.

the given function is:

$h(x)= -16x^2 +100$

a quadratic relationship,

where

h is the height in feet

x is the time in seconds

what is kinetic energy?

Kinetic energy is a form of energy that an object or a particle has by reason of its motion.

as we know that time always appears to run forward, never backward. cannot take negative values so option 1 i.e 2.75 is not possible. Also, after a certain period of time object will vanish all its kinetic energy, resulting in h=0 but h(-2.75)= -21 which is meaningless.

h(-2.75) = $-16*(-2.75)^2+100 = -21$

h(0.25) = $-16*0.25^2 +100=99$$-0.25^2*16+100=99$

h(1.75) = $-16*1.75^2+100=51$

h(25) = $-16*2.25^2+100= 19$

therefore, x=-2.75 this model would make the least sense to use

to get more about kinetic energy refer to:

brainly.com/question/114210