The position of a particle for t> 0 is given by 7 (t) = ((31²) Î + (−6.8 t³) ƒ + (−5 t¯²) k) m. Assume all quantities are correct to 2 significant figures. (a) What is the velocity as a function of time t? Think: In terms of derivatives, how is velocity related to the postion vector when expressed as a function of time? v(t)=( (b) What is the acceleration as a function of time 't'? Think: In terms of derivatives, how is acceleration related to the velocity vector when expressed as a function of time? a(t): = (c) What is the particle's velocity at t = 1.7 s? Enter to 2 significant figures v(t = 1.7 s) = ( + i+ m S (d) What is its speed at t = 0.6 s and t = 3.4 s? Think: Speed at any instant is the magntitude of instantaneous velocity m m S
The position of a particle for t> 0 is given by 7 (t) = ((31²) Î + (−6.8 t³) ƒ + (−5 t¯²) k) m. Assume all quantities are correct to 2 significant figures. (a) What is the velocity as a function of time t? Think: In terms of derivatives, how is velocity related to the postion vector when expressed as a function of time? v(t)=( (b) What is the acceleration as a function of time 't'? Think: In terms of derivatives, how is acceleration related to the velocity vector when expressed as a function of time? a(t): = (c) What is the particle's velocity at t = 1.7 s? Enter to 2 significant figures v(t = 1.7 s) = ( + i+ m S (d) What is its speed at t = 0.6 s and t = 3.4 s? Think: Speed at any instant is the magntitude of instantaneous velocity m m S
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 18PQ: Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length...
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