Pablo and Jacob are running a half marathon. Jacob is d = 55 m behind Pablo and both are running at the same speed of s = 3.7 m/s. At a particular moment, Jacob begins to accelerate forward at a constant rate of a = 0.069 m/s2. A)Write an expression for the time it takes Jacob to catch Pablo in terms of variables from the problem statement. B) Write an expression for Jacob’s speed at the time he catches up to Pablo in terms of variables from the problem statement. C)What is the time it takes Jacob to catch Pablo in seconds?D)What is the distance Jacob traveled as he was accelerating to catch Pablo in meters?E)What is Jacob’s speed at the time he catches up to Pablo in m/s?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
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Pablo and Jacob are running a half marathon. Jacob is d = 55 m behind Pablo and both are running at the same speed of s = 3.7 m/s. At a particular moment, Jacob begins to accelerate forward at a constant rate of a = 0.069 m/s2. A)Write an expression for the time it takes Jacob to catch Pablo in terms of variables from the problem statement. B) Write an expression for Jacob’s speed at the time he catches up to Pablo in terms of variables from the problem statement. C)What is the time it takes Jacob to catch Pablo in seconds?D)What is the distance Jacob traveled as he was accelerating to catch Pablo in meters?E)What is Jacob’s speed at the time he catches up to Pablo in m/s? 

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