A particle's position is given by x = 6.00 - 9.00t + 3t², in which x is in meters and t is in seconds. (a) What is its velocity at t = 1 s? (b) Is it moving in the positive or negative direction of x just then? (c) What is its speed just then? (d) Is the speed increasing or decreasing just then? (Try answering the next two questions without further calculation.) (e) Is there ever an instant when the velocity is zero? If so, give the time t; if not, answer "O". (f) Is there a time after t = 3s when the particle is moving in the negative direction of x? If so, give the time t; if not, answer "O". (a) Number Units (b) (c) Number Units

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
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A particle's position is given by x = 6.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) VWhat is its velocity at t = 1 s? (b) Is it
moving in the positive or negative direction of x just then? (c) What is its speed just then? (d) Is the speed increasing or decreasing just
then? (Try answering the next two questions without further calculation.) (e) Is there ever an instant when the velocity is zero? If so,
give the time t; if not, answer "0". (f) Is there a time after t = 3 s when the particle is moving in the negative direction of x? If so, give the
time t; if not, answer "0".
(a) Number
Units
(b)
(c) Number
Units
(d)
(e) Number
Units
(f)
Number
Units
Transcribed Image Text:A particle's position is given by x = 6.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) VWhat is its velocity at t = 1 s? (b) Is it moving in the positive or negative direction of x just then? (c) What is its speed just then? (d) Is the speed increasing or decreasing just then? (Try answering the next two questions without further calculation.) (e) Is there ever an instant when the velocity is zero? If so, give the time t; if not, answer "0". (f) Is there a time after t = 3 s when the particle is moving in the negative direction of x? If so, give the time t; if not, answer "0". (a) Number Units (b) (c) Number Units (d) (e) Number Units (f) Number Units
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