The height, h(t), of a projectile, in metres, can be modelled by the equation

Question

h(t) = 14t – 5t2, where t is the time in seconds after the projectile is released. Can the projectile ever reach a height of 9m? Explain.

Answer 1

h(t) = t(14-5t)

max height is achieved at t = 7/5
h(7/5) = 9.8

so, yes.

Answer 2

h(t)=-16t³+100t

Answer 3

2&√13 -2÷2