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CALC The position of a particle between t = 0 and 1 = 2.00 s is given by x(1) = (3.00 m/s³);³ – (10.0 m/s²)r² + (9.00 m/s)t. (a) Draw the x-t, v,-t, and a,-t graphs of this particle. (b) At what time(s) between t = 0 and t = 2.00 s is the particle instantaneously at rest? Does your numerical result agree with the v,-t graph in part (a)? (c) At each time calculated in part (b), is the acceleration of the particle positive or negative? Show that in each case the same answer is deduced from a,(t) and from the v,-t graph. 2.57 (d) At yhat timne(s) bet ween t - 0 and t 2. 00 s is the velocity of

CALC The position of a particle between t = 0 and 1 = 2.00 s is given by x(1) = (3.00 m/s³);³ – (10.0 m/s²)r² + (9.00 m/s)t. (a) Draw the x-t, v,-t, and a,-t graphs of this particle. (b) At what time(s) between t = 0 and t = 2.00 s is the particle instantaneously at rest? Does your numerical result agree with the v,-t graph in part (a)? (c) At each time calculated in part (b), is the acceleration of the particle positive or negative? Show that in each case the same answer is deduced from a,(t) and from the v,-t graph. 2.57 (d) At yhat timne(s) bet ween t - 0 and t 2. 00 s is the velocity of

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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2.57 CALC The position of a particle between t = 0 and 1 = 2.00 s is given by x(1) = (3.00 m/s³);³ – (10.0 m/s²)r² + (9.00 m/s)t. (a) Draw the x-t, v,-t, and a,-t graphs of this particle. (b) At what time(s) between t = 0 and t = 2.00 s is the particle instantaneously at rest? Does your numerical result agree with the v,-t graph in part (a)? (c) At each time calculated in part (b), is the acceleration of the particle positive or negative? Show that in each case the same answer is deduced from a,(t) and from the v,-t graph. (d) At what time(s) between t = 0 and t = 2.00 s is the velocity of the particle instantaneously not changing? Locate this point on the vy-t and a,-t graphs of part (a). (e) What is the particle's greatest dis- tance from the origin (x = 0) between t = 0 and t = 2.00 s? (f) At what time(s) between 1 = 0 and 1 = 2.00 s is the particle speeding up at the greatest rate? At what time(s) between t = 0 and t = 2.00 s is the particle slowing down at the greatest rate? Locate these points on the v-t and a,-t graphs of part (a). |
Transcribed Image Text:2.57 CALC The position of a particle between t = 0 and 1 = 2.00 s is given by x(1) = (3.00 m/s³);³ – (10.0 m/s²)r² + (9.00 m/s)t. (a) Draw the x-t, v,-t, and a,-t graphs of this particle. (b) At what time(s) between t = 0 and t = 2.00 s is the particle instantaneously at rest? Does your numerical result agree with the v,-t graph in part (a)? (c) At each time calculated in part (b), is the acceleration of the particle positive or negative? Show that in each case the same answer is deduced from a,(t) and from the v,-t graph. (d) At what time(s) between t = 0 and t = 2.00 s is the velocity of the particle instantaneously not changing? Locate this point on the vy-t and a,-t graphs of part (a). (e) What is the particle's greatest dis- tance from the origin (x = 0) between t = 0 and t = 2.00 s? (f) At what time(s) between 1 = 0 and 1 = 2.00 s is the particle speeding up at the greatest rate? At what time(s) between t = 0 and t = 2.00 s is the particle slowing down at the greatest rate? Locate these points on the v-t and a,-t graphs of part (a). |
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