the formula h=-16t^2 +vt if the model rocket is fired at an intial vertical velocity of 78 meteres per second will the rocket reach a height of 80 meters? t

h = -16t

^{2}+ 48t (v = initial velocity of 48 ft/sec)Since the coefficient of the t

^{2}term is negative (-16), the parabola opens downward and its vertex will be the highest point. The t-coordinate of the vertex is:t(vertex) = -b/2a

Where a is the coefficient of the t

^{2}term (-16) and b is the coefficient of the t term (48). Plug in the values to find the time it takes the rocket to reach its highest point, then plug that time into the h equation to determine the highest height.