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.

# 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...

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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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