Question

analyze the graph of a cannonball launched from the ground with an initial velocity of 144 feet per second. the cannonball reached its maximum height after 4.5 seconds. what was the maximum height the cannonball reached? feet

Explanation:

Step1: Identificar la función y el valor de t

Tenemos la función $h(t)=-16t^{2}+144t$ y $t = 4.5$.

Step2: Sustituir t en la función

Sustituimos $t = 4.5$ en $h(t)$: $h(4.5)=-16\times(4.5)^{2}+144\times4.5$.

Step3: Calcular los términos

Calculamos $(4.5)^{2}=20.25$, entonces $-16\times20.25=-324$ y $144\times4.5 = 648$.

Step4: Obtener el resultado final

$h(4.5)=-324 + 648=324$.

Answer:

324