Answer:
- The maximum height is 136 ft
- The time it takes to achieve this height is 1.5 s.
Explanation:
<u>1. Function for the height (given):</u>
<u />
<u>2. Type of function</u>
That is a quadatic function, whose graph is a parabola that opens downward.
The maximum of the function, i.e. the maximum height, is the vertex of the parabola.
The vertex of a parabola with the genral equation is at the x-coordinate
<u>3. Time to achieve the maximum height</u>
Substitute b with 48 and a with - 16:
Then, time when the object achieves the maximum height it 1.5s
<u />
<u>4. Maximum height:</u>
Replace t with 1.5 in the equation, to find the maximum height, h(1.5)
Then, the maximum height is 136 ft