Final answer:
The maximum height of the object at time 6.0 seconds is 6 meters.
Step-by-step explanation:
The subject of this question is Physics and it is suitable for High School students.
The given equation, h(6)=-16(6)²+96(6)+6, represents the maximum height of an object at time 6.0 seconds. To solve for the maximum height, we substitute 6.0 for t in the equation and use order of operations to simplify the expression. The resulting value will give us the maximum height.
Let's substitute 6.0 for t:
h(6)=-16(6)²+96(6)+6
h(6)=-16(36)+96(6)+6
h(6)=-576+576+6
h(6)=6
Therefore, the maximum height of the object at time 6.0 seconds is 6 meters.