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A stone is thrown upward from the top of a tower 50 meters high. Its velocity in an upward direction t second later is 20 -5t meters per second. Find the height of the stone above the ground 3 seconds later.

A stone is thrown upward from the top of a tower 50 meters high. Its velocity in an upward direction t second later is 20 -5t meters per second. Find the height of the stone above the ground 3 seconds later.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Applications of anti-differentiation arise in problems in which we know the rate of change of a function and want to find the function itself. Problems about motion provide many examples, such as those in which the velocity of a moving object is given, and we want to find its position at any time. Since velocity is rate of change of displacement, we must anti-differentiate to find the displacement. Directions: Answer the problem completely. 1. A stone is thrown upward from the top of a tower 50 meters high. Its velocity in an upward direction t second later is 20 5t meters per second. Find the height of the stone above the ground 3 seconds later.
Transcribed Image Text:Applications of anti-differentiation arise in problems in which we know the rate of change of a function and want to find the function itself. Problems about motion provide many examples, such as those in which the velocity of a moving object is given, and we want to find its position at any time. Since velocity is rate of change of displacement, we must anti-differentiate to find the displacement. Directions: Answer the problem completely. 1. A stone is thrown upward from the top of a tower 50 meters high. Its velocity in an upward direction t second later is 20 5t meters per second. Find the height of the stone above the ground 3 seconds later.
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