Question

a rocket is launched from the ground at an initial velocity of 39.2 meters per second. which equation can be used to model the height of the rocket after t seconds?

Answer 1

$\bf ~~~~~~\textit{initial velocity} \\\\ \begin{array}{llll} ~~~~~~\textit{in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \end{array} \quad \begin{cases} v_o=\stackrel{39.2}{\textit{initial velocity of the object}}\\\\ h_o=\stackrel{\textit{from the ground, so }0}{\textit{initial height of the object}}\\\\ h=\stackrel{}{\textit{height of the object at "t" seconds}} \end{cases} \\\\\\ h(t)=-4.9t^2+39.2t+0\implies h(t)=-4.9t^2+39.2t$