the height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground…

the height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the function h(t)=300 - 16t². which expression could be used to determine the average rate at which the object falls during the first 3 seconds of its fall?\n○ h(3)-h(0)\n○ h(\\frac{3}{3})-h(\\frac{0}{3})\n○ \\frac{h(3)}{3}\n○ \\frac{h(3)-h(0)}{3}

the height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the function h(t)=300 - 16t². which expression could be used to determine the average rate at which the object falls during the first 3 seconds of its fall?\n○ h(3)-h(0)\n○ h(\\frac{3}{3})-h(\\frac{0}{3})\n○ \\frac{h(3)}{3}\n○ \\frac{h(3)-h(0)}{3}

Answer

Explanation:

Step1: Definir la fórmula de tasa promedio

La tasa promedio de cambio de una función $y = h(t)$ en el intervalo $[a,b]$ está dada por $\frac{h(b)-h(a)}{b - a}$.

Step2: Identificar los valores de $a$ y $b$

En este caso, el intervalo es de $t = 0$ a $t=3$, entonces $a = 0$ y $b = 3$.

Step3: Sustituir en la fórmula

La tasa promedio de caída del objeto en los primeros 3 segundos es $\frac{h(3)-h(0)}{3-0}=\frac{h(3)-h(0)}{3}$.

Answer:

$\frac{h(3)-h(0)}{3}$