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 v-1 and a,-t graphs of part (a). (e) What is the particle's greatest dis- 2.00 s? (f) At 2.57 tance from the origin (x = 0) between t = 0 and t : 2 00 a in
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 v-1 and a,-t graphs of part (a). (e) What is the particle's greatest dis- 2.00 s? (f) At 2.57 tance from the origin (x = 0) between t = 0 and t : 2 00 a in
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
Chapter2: Motion In One Dimension
Section2.1: Average Velocity
Problem 2.1QQ: Under which of the following conditions is the magnitude of the average velocity of a particle...
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