At time t - 0, constant force F begins to act on a rock moving through deep space in the +x direction. Three possible functions of its motion are: (1) x - 4t - 3 (2) x - -4t2 + 6t - 3 (3) x - 4t2 + 6t - 3 | If a non-zero net force acts, what is true of the acceleration? (a) For time t > 0, which are possible functions x(t) for the rock's position? (1) x = 4t - 3 (2) x = -4t2 + 6t – 3

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
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 64P: If a single constant force acts on an object that moves on a straight line, the objects velocity is...
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At time t = 0, constant force F begins to act on a rock moving through deep space in the +x direction.
Three possible functions of its motion are:
(1) x = 4t - 3
(2) x = -4t2 + 6t – 3
(3) x = 4t2 + 6t - 3
X If a non-zero net force acts, what is true of the acceleration?
(a) For time t > 0, which are possible functions x(t) for the rock's position?
(1) x = 4t – 3
(2) x = -4t2 + 6t – 3
(3) x = 4t2 + 6t – 3
SHOW HINT
X Did you look at the signs of the acceleration and the initial velocity?
(b) For which function is É directed opposite the rock's initial direction of motion?
(1) x = 4t - 3
(2) x = -4t2 + 6t - 3
(3) x = 4t2 + 6t - 3
Transcribed Image Text:At time t = 0, constant force F begins to act on a rock moving through deep space in the +x direction. Three possible functions of its motion are: (1) x = 4t - 3 (2) x = -4t2 + 6t – 3 (3) x = 4t2 + 6t - 3 X If a non-zero net force acts, what is true of the acceleration? (a) For time t > 0, which are possible functions x(t) for the rock's position? (1) x = 4t – 3 (2) x = -4t2 + 6t – 3 (3) x = 4t2 + 6t – 3 SHOW HINT X Did you look at the signs of the acceleration and the initial velocity? (b) For which function is É directed opposite the rock's initial direction of motion? (1) x = 4t - 3 (2) x = -4t2 + 6t - 3 (3) x = 4t2 + 6t - 3
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