part iii: answer all 2 questions in this part. each correct answer will receive 4 credits. clearly indicate…

part iii: answer all 2 questions in this part. each correct answer will receive 4 credits. clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. utilize the information provided for each question to determine your answer. note that diagrams are not necessarily drawn to scale. for all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. 16) the table below shows the height of a rocket over time. determine the average rate of change in the height of the rocket from 2 seconds to 4 seconds. include appropriate units. time seconds (t) 0 1 2 3 4 height in feet (h) 80 128 144 128 80

part iii: answer all 2 questions in this part. each correct answer will receive 4 credits. clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. utilize the information provided for each question to determine your answer. note that diagrams are not necessarily drawn to scale. for all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. 16) the table below shows the height of a rocket over time. determine the average rate of change in the height of the rocket from 2 seconds to 4 seconds. include appropriate units. time seconds (t) 0 1 2 3 4 height in feet (h) 80 128 144 128 80

Answer

Explanation:

Step1: Definir la fórmula para la tasa promedio de cambio

La tasa promedio de cambio de una función $y = f(x)$ en el intervalo $[a,b]$ está dada por $\frac{f(b)-f(a)}{b - a}$. Aquí, la función es la altura $h(t)$ del cohete en función del tiempo $t$, $a = 2$, $b=4$, $h(2)=144$ y $h(4)=80$.

Step2: Aplicar la fórmula

$\frac{h(4)-h(2)}{4 - 2}=\frac{80 - 144}{4 - 2}$.

Step3: Realizar los cálculos

$\frac{80 - 144}{4 - 2}=\frac{- 64}{2}=-32$.

Answer:

-32 pies/segundo