Question

A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s. The height of the object can be modeled by the equation s ( t ) = -16 t2 + 64 t + 400.

In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation.

Answer 1

To determine the time(s) the ball is higher than the building in interval notation, you need to find the time(s) when the height of the ball is greater than 400 feet. You can do this by setting the height equation equal to 400 and solving for t. The resulting values of t will be the times when the ball is at a height greater than 400 feet.