Question

The height of a rock thrown from a cliff can be modeled by the function h(t) = -16t^2+156t+ 306, where t is the

time after the rock is thrown, in seconds.

When does the rock reach its maximum height?

Ur the goat if u answer

Answer 1

t = 4.875 seconds

Explanation:

The vertex of the quadratic function ...

ax² +bx +c

is found at ...

x = -b/(2a)

Your quadratic function has a=-16, b=156, so the highest point is at ...

t = -156/(2(-16)) = 39/8 = 4.875

The rock reaches its maximum height at t=4.875 seconds.