# Let the position at time t seconds of a particle moving in a coordinate line be given by s(t) = cos(3t) centimeters.(a) Find its velocity v(t) = s0(t) at time t.(b) Show that 9s(t)2 +v(t)2 = 9.(c) Find its acceleration a(t) = v0(t) = s00(t) at time t.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

Let the position at time t seconds of a particle moving in a coordinate line be given by s(t) = cos(3t) centimeters.
(a) Find its velocity v(t) = s0(t) at time t.
(b) Show that 9s(t)2 +v(t)2 = 9.
(c) Find its acceleration a(t) = v0(t) = s00(t) at time t.

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