Question

After 4 seconds, a launched projectile reaches a

maximum height of 60 feet. The projectile is launched
from a height of 12 feet.If all the experiments that followed met or exceeded this path, which quadratic inequality in standard form contains the points in the later experiments?

Answer 1

The quadratic inequality that contains the points in the later experiments is -16t^2 + V0t - 48 ≥ 0.

Step-by-step explanation:

To find the quadratic inequality that contains the points in the later experiments, we need to consider the height of the projectile as a function of time. Let's assume the time taken for the projectile to reach its maximum height is t seconds. Since the initial height is 12 feet and the maximum height is 60 feet, we can set up the equation:

-16t^2 + V0t + 12 = 60

Where V0 is the initial vertical velocity. To find the quadratic inequality, we need to put this equation in standard form by rearranging the terms:

-16t^2 + V0t - 48 ≥ 0

Therefore, the quadratic inequality in standard form that contains the points in the later experiments is -16t^2 + V0t - 48 ≥ 0.