Question: FORUM DESCRIPTION Module 3 - Discussion In this discussion you will explore an application of polynomials by studying a model of a free falling object.

FORUM DESCRIPTION Module 3 - Discussion In this discussion you will explore an application of polynomials by studying a model of a free falling object. Scenario - A person stands at the top of a 30 feet building and throws a ball upwards with an initial velocity of 38 feet per second . Using calculus and the fact that the acceleration due to gravity is approximately 32 f1/s we obtain that the velocity and height of the ball satisfy the following formulas: . Velocity of the ball t seconds after being thrown: v= -321+ 38 h= - 1612+ 38t+ 30 . Height of the ball t seconds after being thrown : Here, velocity v is given in ft/s and the height h is given in ft . The variable t represents time, given in seconds. Instructions: 1. Review the scenario above and answer the following questions: a. Find the maximum height of the ball (in feet). o Hint: the moment the ball reaches maximum height, its velocity is zero (because in that split of a millisecond, the ball must stop to change direction and comeback down) b. Determine how long it takes for the ball to hit the ground (in seconds). o Hint: when the ball hits the ground, what is its height equal to? (answer: height is zero)

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