Question

the function h(t)=-4.9t^2+19t+1.5 describes the height in meters of a basketball t seconds after it has been thrown vertically into the air.what is the maximum height of the basketball? round your answer to the nearest tenth

Answer 1

we have

h(t)=-4.9t^2+19t+1.5

This function represent a vertical parabola open downward

The vertex represent a maximum

using a graphing tool

see the attached figure

please wait a minute

The vertex is the point (1.94, 19.92)

therefore

the maximum height of the basketball is 19.9 meters