Evaluate v(t) when t = 0.
Evaluate h(t) when t = 0.
Since the height function is a parabola, the maximum height can be determined by using Algebra to locate the vertex. Calculus can also be used.
The maximum height will occur at the time when v(t) = 0.
The vertex of the parabola is located at t = –21/2(–4.9) ≈ 2.143 seconds.
h(2.143) ≈ 25.5 m