A toy rocket is launched

Question

A toy rocket is launched vertically upward from a 10 foot platform with an initial velocity of 112 feet per second. Apply the vertical model equation; h= -16t^2 + V₀t + h₀

A) Write an equation for the situation?

B) After how many seconds will the rocket reach its absolute maximum height?

Answer 1

(A)

h(t) = -16t² + 112t + 10

(B)

The maximum height occurs at the vertex of the height-vs.-time parabola, at

t = -b/(2a) = -112/[2(-16)] s = ? s

If you want the maximum height h_max, valuate h(t) at this value of t.