Daniel kicks a soccer ball and the trajectory is modeled by f(t)=-16t²+32t. Part A: What would be the value of f(1)? Select a Value Part B: Consider the graph of the function below according to the graph of the model f(1) represents the maximum height of the soccer ball after it was kicked.

Question

Daniel kicks a soccer ball and the trajectory is modeled by f(t)=-16t²+32t. Part A: What would be the value of f(1)? Select a Value Part B: Consider the graph of the function below according to the graph of the model f(1) represents the maximum height of the soccer ball after it was kicked.

minimum height of the soccer ball after it was kicked.
initial height of the soccer ball after it was kicked.
end height of the soccer ball after it was kicked.

Answer 1

Part A: To find the value of f(1), we substitute t = 1 into the equation f(t) = -16t² + 32t:

f(1) = -16(1)² + 32(1)
= -16 + 32
= 16

Therefore, the value of f(1) is 16.

Part B: f(1) represents the maximum height of the soccer ball after it was kicked. So the option to select is "maximum height of the soccer ball after it was kicked."