Explanation Given information: The distance s of a mobile body measured from a fixed point is given by s = 20 e t 2 . Concept used: The derivative of an exponential function, d d x e a x = a e a x Velocity of a body, Velocity is given by the rate of change of distance with respect to time as below. v = d s d t Calculation: Consider the equation to find the distance s of a body from a fixed point in t time as below. s = 20 e t 2 Since the velocity is given by the ratio of distance to the time or the rate of change of distance with respect to the time. Thus, differentiate s = 20 e t 2 with respect to time

6th Edition

ISBN: 9781119267874

Author: Hughes-Hallett

Publisher: WILEY

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 3.3, Problem 40P

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To calculate:

The velocity v of a body in terms of t if the distance s of a mobile body measured from a fixed point is given by s=20et2.

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Chapter 3.3, Problem 39P

Chapter 3.3, Problem 41P

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The velocity v of a body in terms of t if the distance s of a mobile body measured from a fixed point is given by s = 20 e t 2 .

Solution Summary: The author explains how to calculate the velocity v of a body in terms of time. The distance s is given by the ratio of distance to the time or the rate of change.

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To calculate:

The velocity v of a body in terms of t if the distance s of a mobile body measured from a fixed point is given by s=20et2.

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Chapter 3 Solutions

The velocity v of a body in terms of t if the distance s of a mobile body measured from a fixed point is given by s = 20 e t 2 .

Solution Summary: The author explains how to calculate the velocity v of a body in terms of time. The distance s is given by the ratio of distance to the time or the rate of change.

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To calculate: The velocity v of a body in terms of t if the distance s of a mobile body measured from a fixed point is given by s=20et2.

Want to see the full answer?

Chapter 3 Solutions

To calculate:

The velocity v of a body in terms of t if the distance s of a mobile body measured from a fixed point is given by s=20et2.