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A particle moves in a straight line with displacement function s(t) = 12t 2t 3 1
Chapter 17, Problem 5(choose chapter or problem)
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Questions & Answers
QUESTION:
A particle moves in a straight line with displacement function s(t) = 12t 2t 3 1 centimetres where t is in seconds, t > 0. a Find velocity and acceleration functions for the particles motion. b Find the initial conditions and interpret their meaning. c Find the times and positions when the particle reverses direction. d At what times is the particles: i speed increasing ii velocity increasing?
ANSWER:Step 1 of 7
a) It is given that centimetres.
Find and
by differentiating w. r. t.
as shown below:
The velocity is .
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