Answer:
1 second
Step-by-step explanation:
Here's how to find how long it took Kalynn to reach her maximum height:
Understanding the problem:
The function H(t) is a quadratic function, representing a parabolic trajectory. The maximum height corresponds to the vertex of this parabola.
Steps to find the time of maximum height:
Find the vertex: The time at which maximum height occurs is the x-coordinate (or t-coordinate in this case) of the vertex. The formula for the x-coordinate of the vertex of a parabola in the form ax^2 + bx + c is:
x = -b / 2a
Apply the formula: In our function H(t) = -16t^2 + 32t + 220:
a = -16
b = 32
x = -32 / (2 * -16) = 1
Result:
It took Kalynn 1 second to reach her maximum height.
