Quadratic functions can be used to describe the rate at which an object will fall and predict when it will land or how high it may go. Create a quadratic function using the function y=−16t2

Question

Quadratic functions can be used to describe the rate at which an object will fall and predict when it will land or how high it may go. Create a quadratic function using the function y=−16t2

to help predict when an object will return to the ground from being kicked, dropped, or thrown. In 3–5 sentences, describe the scenario in which you will use the function. Write the complete function and explain the meaning of the variable t and the constant value.

Answer 1

In this scenario, we can use the quadratic function y = -16t² to predict when an object will return to the ground. The variable t represents time in seconds since the object was kicked, dropped, or thrown. The constant value -16 indicates that the object is affected by gravity, and the negative sign indicates that the object is moving downward. By plugging in different values of t, we can estimate the time it will take for the object to reach the ground.