The velocity of a particle moving in a straight line is given by v = t(t + 2)2 + 3t. (a) Find an expression for the position s after a time t. HINT [See Example 2(d).] (b) Given that s = 4 at time t = 0, find the constant of integration C and hence an expression for s in terms of t without any unknown constants.
The velocity of a particle moving in a straight line is given by v = t(t + 2)2 + 3t. (a) Find an expression for the position s after a time t. HINT [See Example 2(d).] (b) Given that s = 4 at time t = 0, find the constant of integration C and hence an expression for s in terms of t without any unknown constants.
The velocity of a particle moving in a straight line is given by v = t(t + 2)2 + 3t. (a) Find an expression for the position s after a time t. HINT [See Example 2(d).] (b) Given that s = 4 at time t = 0, find the constant of integration C and hence an expression for s in terms of t without any unknown constants.
The velocity of a particle moving in a straight line is given by
v = t(t2 + 2)2 + 3t.
(a) Find an expression for the position s after a time t. HINT [See Example 2(d).]
s =
+ C
(b) Given that s = 4 at time t = 0, find the constant of integrationC and hence an expression for s in terms of t without any unknown constants.
s =
Transcribed Image Text:The velocity of a particle moving in a straight line is given by v = t(t + 2)2 + 3t.
(a) Find an expression for the position s after a time t. HINT [See Example 2(d).]
(b) Given that s = 4 at time t = 0, find the constant of integration C and hence an expression for s in terms of t without any unknown constants.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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![The velocity of a particle moving in a straight line is given by v = t(t + 2)2 + 3t.
(a) Find an expression for the position s after a time t. HINT [See Example 2(d).]
(b) Given that s = 4 at time t = 0, find the constant of integration C and hence an expression for s in terms of t without any unknown constants.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefa4cca1-81f9-4cce-bc3d-e5d7ab07e50e%2Fc5a6eb46-fb89-4ad6-b5e7-fad674fb248c%2F9ud3urg.png&w=3840&q=75)
