Question

A soccer ball is kicked from the ground. The equation that models the height (y) after (t) seconds is: y = -16t^2 + 90t Find the maximum height (y value of the vertex) that the ball will reach.

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given function

`y=-16t^2+90t`

STEP 2: Plot the function on a graph

STEP 3: Define the vertex of the graph

The vertex is the y value of the maximum point on a graph.

STEP 4: Identify the vertex of the function/graph

Hence, from the image above, the maximum height is the y value of the vertex which is approximately 126.563