Question

The function h(t) = -4.9t² + h0 gives the height (h), in meters, of an object t seconds after it falls from an initial height (h0). The table shows data for a pebble that fell from a cliff. Choose the quadratic equation that models the situation.

Answer 1

The function h(t) = -4.9t² + h0 represents the height (h) in meters of an object t seconds after it falls from an initial height (h0).

Step-by-step explanation:

The function h(t) = -4.9t² + h0 represents the height (h) in meters of an object t seconds after it falls from an initial height (h0). This is a quadratic equation because the highest power of the variable is ^2. In this equation, -4.9 represents the acceleration due to gravity, and h0 represents the initial height of the object. We can use this equation to calculate the height of the object at any given time after it falls.