Question

A catapult launches a boulder into the air with an equation of height in meters over time in seconds of h(t) equals negative 4.5 T2 + 72t and 18 when does the Boulder reach its maximum height at how many seconds

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the time when the boulder reaches its maximum height, we need to determine the vertex of the parabolic equation h(t) = -4.5t^2 + 72t.

The vertex of a parabola in the form h(t) = at^2 + bt + c can be found using the formula t = -b / (2a).

In this case, a = -4.5 and b = 72. Plugging these values into the formula, we find:

t = -72 / (2*(-4.5))
t = -72 / (-9)
t = 8

Therefore, the boulder reaches its maximum height at t = 8 seconds.