Given that the position x of a particle (in inches) is defined in terms of time t (in seconds) by the expression below. Determine: 3t4 x = 3.5t ² ( ² + 2t ² - 5 t) + ² (a) the average velocity of the particle from t = 1.0 s to t = 2.0 s, (b) the time at which the velocity of the particle is 715 in/s, (c) the average acceleration of the particle from t = 2.0 s to t = 4.0 s, and (d) the acceleration of the particle at t = 1.5 s UST

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
Section: Chapter Questions
Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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1. Given that the position x of a particle (in inches) is defined in terms of time t (in seconds)
by the expression below. Determine:
x = 3.5t
3.5t (+2
+2t²-5t +
- 5t) + 34
(a) the average velocity of the particle from t = 1.0 s to t = 2.0 s,
(b) the time at which the velocity of the particle is 715 in/s,
(c) the average acceleration of the particle from t = 2.0 s to t = 4.0 s, and
(d) the acceleration of the particle at t = 1.5 s
UST
Transcribed Image Text:1. Given that the position x of a particle (in inches) is defined in terms of time t (in seconds) by the expression below. Determine: x = 3.5t 3.5t (+2 +2t²-5t + - 5t) + 34 (a) the average velocity of the particle from t = 1.0 s to t = 2.0 s, (b) the time at which the velocity of the particle is 715 in/s, (c) the average acceleration of the particle from t = 2.0 s to t = 4.0 s, and (d) the acceleration of the particle at t = 1.5 s UST
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