Calculus is a powerful tool used in all areas of physics. One of the initial applications areas is classical physics, particularly Newtonian mechanics. An important function is the position functions (t) that measures how far the object is from point () at time. The question below deals with just the position function 8 (t). Problem Set question: The position function for a falling objects is given by s(t)=-16t² + vot+Sg. where s (t) is the height of the object in feet, U is the initial velocity. So is the initial height, and it is the time in seconds. A ball is shot upwards from the surface of the earth (S0 =0) with an initial velocity of 75 feet per second. What is the maximum height reached by the ball? Round your answer to the nearest integer. The maximum height reached by the ball is Number Units

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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Calculus is a powerful tool used in all areas of physics. One of the initial applications areas is classical physics, particularly Newtonian mechanics. An
important function is the position functions (t) that measures how far the object is from point () at time. The question below deals with just the position
function 8 (t).
Problem Set question:
The position function for a falling objects is given by s(t)=-16t² + vot+Sg. where s (t) is the height of the object in feet, U is the initial velocity. So is
the initial height, and it is the time in seconds.
A ball is shot upwards from the surface of the earth (S0 =0) with an initial velocity of 75 feet per second. What is the maximum height reached by the ball?
Round your answer to the nearest integer.
The maximum height reached by the ball is Number
Units
Transcribed Image Text:Calculus is a powerful tool used in all areas of physics. One of the initial applications areas is classical physics, particularly Newtonian mechanics. An important function is the position functions (t) that measures how far the object is from point () at time. The question below deals with just the position function 8 (t). Problem Set question: The position function for a falling objects is given by s(t)=-16t² + vot+Sg. where s (t) is the height of the object in feet, U is the initial velocity. So is the initial height, and it is the time in seconds. A ball is shot upwards from the surface of the earth (S0 =0) with an initial velocity of 75 feet per second. What is the maximum height reached by the ball? Round your answer to the nearest integer. The maximum height reached by the ball is Number Units
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