Question

Identity the function that models a ball being thrown in the air with an initial velocity of 32ft/s, from a hight of 20 ft

Answer 1

$\bf \qquad \textit{initial velocity}\\\\ h = -16t^2+v_ot+h_o \qquad \text{in feet}\\ h = -4.9t^2+v_ot+h_o \qquad \text{in meters} \\ \quad \\ v_o=\textit{initial velocity of the object}\\ h_o=\textit{initial height of the object}\\ h=\textit{height of the object at "t" seconds}\\\\ -----------------------------\\\\ \begin{cases} v_o=32\\ h_o=20 \end{cases}\implies \boxed{h(t)=-16t^2+32t+20}$