Question

20.

Answer 1

Answer:

After 3 seconds

Step-by-step explanation:

Given

$h(t) = -16t^2 + 96t$

Required

Seconds to attain maximum height

The maximum of a quadratic function $y = ax^2 + bx + c$ is calculated using:

$x = -\frac{b}{2a}$

So, we have:

$t = -\frac{b}{2a}$

Where:

$a = -16$ and $b = 96$

So:

$t = -\frac{96}{2 * -16}$

$t = -\frac{96}{-32}$

Cancel out negatives

$t = \frac{96}{32}$

$t = 3$