Question

A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec.

(a) Write a quadratic function h(t) that shows height, in feet, of the rocket t seconds after it was launched
(b) graph h(t) on the coordinate plane

please give the coordinates/points!
the graph is below!

Answer 1

we know the rocket was launched from the ground, meaning its initial height is 0, thus

`~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&64\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&0\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at`

Check the picture below.