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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

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. The position of a particle for t > 0 is given by 7 (t) = ((3t²) 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) = ( a(t) = ( i+ ✓i+ (c) What is the particle's velocity at t = 1.7 s? Enter to 2 significant figures v(t = 1.7 s) = ( |v(t =3.4 s)|=| (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? '+ ✓ ✓i+ (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 Enter to 2 significant figures |v(t = 0.6 s) | = m S m i+ ✓j+ k) m k) | S m s² ES m
Transcribed Image Text:1. The position of a particle for t > 0 is given by 7 (t) = ((3t²) 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) = ( a(t) = ( i+ ✓i+ (c) What is the particle's velocity at t = 1.7 s? Enter to 2 significant figures v(t = 1.7 s) = ( |v(t =3.4 s)|=| (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? '+ ✓ ✓i+ (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 Enter to 2 significant figures |v(t = 0.6 s) | = m S m i+ ✓j+ k) m k) | S m s² ES m
(e) What is the average velocity between t = 0.6 s and t = 3.4 s? Enter to 2 significant figures Think: What is the formula for the average velocity? V = ( ✓i+ + k) m S
Transcribed Image Text:(e) What is the average velocity between t = 0.6 s and t = 3.4 s? Enter to 2 significant figures Think: What is the formula for the average velocity? V = ( ✓i+ + k) m S
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