The function s(t) describes the motion of a particle along a line. s(t) = 16t – t2 (a) Find the velocity function v(t) of the particle at any time t > 0. v(t) (b) Identify the time interval in which the particle is moving in a positive direction.

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 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...
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The function s(t) describes the motion of a particle along a line.
s(t) = 16t – t2
(a) Find the velocity function v(t) of the particle at any time t > 0.
v(t)
(b) Identify the time interval in which the particle is moving in a positive direction.
Transcribed Image Text:The function s(t) describes the motion of a particle along a line. s(t) = 16t – t2 (a) Find the velocity function v(t) of the particle at any time t > 0. v(t) (b) Identify the time interval in which the particle is moving in a positive direction.
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