The position function for a falling objects is given by s (t) = -16t2 + vot + so. where s (t) is the height of the object in feet, vo is the initial velocity, so is the initial height, and t is the time in seconds. A ball is shot upwards from the surface of the earth (s0 = 0) with an initial velocity of 30 feet per second. What is the maximum height reached by the ball?

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Introduction to Calculus in Physics:
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 function s (t) that measures how far the object is from point 0 at time t. The question below deals with just the position
function s (t).
Problem Set question:
The position function for a falling objects is given by s (t) = –1672 + vot + s0, where s (t) is the height of the object in feet, uo is the initial velocity, so
is the initial height, and tis the time in seconds.
A ball is shot upwards from the surface of the earth (so = 0) with an initial velocity of 30 feet per second. What is the maximum height reached by the
%3|
ball?
Round your answer to the nearest integer.
The maximum height reached by the ball is Number
Units
Transcribed Image Text:Introduction to Calculus in Physics: 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 function s (t) that measures how far the object is from point 0 at time t. The question below deals with just the position function s (t). Problem Set question: The position function for a falling objects is given by s (t) = –1672 + vot + s0, where s (t) is the height of the object in feet, uo is the initial velocity, so is the initial height, and tis the time in seconds. A ball is shot upwards from the surface of the earth (so = 0) with an initial velocity of 30 feet per second. What is the maximum height reached by the %3| ball? Round your answer to the nearest integer. The maximum height reached by the ball is Number Units
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