An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end of t seconds is s(t) = t^3 − 9t^2 + 24t − 16 feet. (a) when is the particle moving to the left? (b) what is the acceleration when its velocity is equal to zero? (c) when is the acceleration positive? (d) when is the particle slowing down? (e) what is the total distance travelled by the particle after 4 seconds?
An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end of t seconds is s(t) = t^3 − 9t^2 + 24t − 16 feet. (a) when is the particle moving to the left? (b) what is the acceleration when its velocity is equal to zero? (c) when is the acceleration positive? (d) when is the particle slowing down? (e) what is the total distance travelled by the particle after 4 seconds?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 5OQ: Does a car moving around a circular track with constant speed have (a) zero acceleration, (b) an...
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An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end
of t seconds is s(t) = t^3 − 9t^2 + 24t − 16 feet.
(a) when is the particle moving to the left?
(b) what is the acceleration when its velocity is equal to zero?
(c) when is the acceleration positive?
(d) when is the particle slowing down?
(e) what is the total distance travelled by the particle after 4 seconds?
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