62. Motion in a Straight Line The velocity of a particle moving in a straight line is given by v = 3e* +t. a. Find an expression for the position s after a time t. b. Given that s = 3 at time t = 0, find the constant of integration C, and hence find an expression for s in terms of t without any unknown constants. [Hint: See Example 7.]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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62. Motion in a Straight Line The velocity of a particle moving in a straight line is given by
v = 3e* +t.
a. Find an expression for the position s after a time t.
b. Given that s = 3 at time t = 0, find the constant of integration C, and hence find an expression
for s in terms of t without any unknown constants. [Hint: See Example 7.]
Transcribed Image Text:62. Motion in a Straight Line The velocity of a particle moving in a straight line is given by v = 3e* +t. a. Find an expression for the position s after a time t. b. Given that s = 3 at time t = 0, find the constant of integration C, and hence find an expression for s in terms of t without any unknown constants. [Hint: See Example 7.]
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