Answer:
Step-by-step explanation:
The height of the vertically projected stone is represented by the function,
h(t) = 100t – 5t^2
The given function is a quadratic equation. If values of height attained attained by the stone is plotted against time, the shape of the graph will be a parabola whose vertex would correspond to the maximum height obtained by the stone.
Vertex of the parabola = -b/2a
From the given equation,
a = - 5
b = 100
Vertex = - 100/ - 2× 5 = 100/10
Vertex = 10
Therefore, the maximum height the stone can reach is 10 meters
