The height of an object when projected upward can be described by the equation h=270t-4.9t2, where h is height and t is time. the relationship between the height of the object and the elapsed time is -

For this case we have the following equation:

h = 270t-4.9t2

We observed that:

1) The equation is quadratic

2) The quadratic term of the equation is negative, therefore, the parabola opens downwards.

3) The object is launched with initial height equal to zero.

Answer:

The relationship between the height of the object and the elapsed time is quadratic.