The velocity of a particle moving in a straight line is given by v(t) = t2 + 5. (a) Find an expression for the position s after a time t . s(t) = + C (b) Given that s = 2 at time t = 0, find the constant of integration C.C = Find an expression for s in terms of t without any unknown constants. HINT [See Example 7.] s(t) =
The velocity of a particle moving in a straight line is given by v(t) = t2 + 5. (a) Find an expression for the position s after a time t . s(t) = + C (b) Given that s = 2 at time t = 0, find the constant of integration C.C = Find an expression for s in terms of t without any unknown constants. HINT [See Example 7.] s(t) =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 6T
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The velocity of a particle moving in a straight line is given by
v(t) = t2 + 5.
(a) Find an expression for the position s after a time t .
(b) Given that s = 2 at time t = 0, find the constant ofintegration C.
C =
Find an expression for s in terms of t without any unknown constants. HINT [See Example 7.]
s(t) = |
|
+ C |
(b) Given that s = 2 at time t = 0, find the constant of
C =
Find an expression for s in terms of t without any unknown constants. HINT [See Example 7.]
s(t) = |
|
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