Suppose you drop a ball from the top of a building that is 1 00 feet tall.
(a) Construct a mathematical model to estimate how long it takes the ball to reach the ground. An object falling near the surface of the earth in the absence of air friction accelerates downward at the rate of g = 32.2 ft/sec2.
(b) Use calculus to solve the model and answer the question.
(c) After solving the model for your estimate, suppose you actually drop the ball and discover it takes 2.6 seconds to reach the ground. What do you conclude from this result?