6. A particle moving along a straight line has a velocity given by v = 4 − x², where v is the velocity in ft/sec and x is the position in ft. = 1 ft. (a = −6 ft/sec²) (a) Determine the acceleration of the particle at position x = (b) Determine the travel time from the origin to the position x = 1 ft. (t = 0.275 sec) (c) Show that the particle never arrives at position x = 2 ft. (t = ∞) 1 1 Hint: ±² = 1½ (2²±² + 2 + 2). 4 x 2-x

6. A particle moving along a straight line has a velocity given by v = 4 − x², where v is the velocity in ft/sec and x is the position in ft. = 1 ft. (a = −6 ft/sec²) (a) Determine the acceleration of the particle at position x = (b) Determine the travel time from the origin to the position x = 1 ft. (t = 0.275 sec) (c) Show that the particle never arrives at position x = 2 ft. (t = ∞) 1 1 Hint: ±² = 1½ (2²±² + 2 + 2). 4 x 2-x

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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