Final answer:
The equation h = 210 - 16t² represents the height of an object dropped from a tall building. The equation is a quadratic function and the maximum height is 210 feet. The height of the object decreases with time until it reaches the ground.
Step-by-step explanation:
The equation h = 210 - 16t² represents the height of an object dropped from the top of a 210 feet tall building as a function of time. 'h' represents the height of the object in feet and 't' represents the time in seconds.
To find the height of the object at a specific time, substitute the value of 't' into the equation and solve for 'h'. For example, to find the height after 2 seconds, substitute t = 2 into the equation: h = 210 - 16(2)² = 210 - 16(4) = 210 - 64 = 146 feet.
The equation is a quadratic function, where the highest point (vertex) represents the maximum height of the object. In this case, the maximum height is 210 feet. As time increases, the height of the object decreases until it reaches the ground.