(d) What is its speed at t = 1.1 s and t = 2.9 s? |v(t = 1.1 s)| = m S m |v(t=2.9 s)|=| (e) What is the average velocity between t = 1.1 s and t = 2.9 s? V=11.6 i+ S m S

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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) = ((2.9t²) Î + (−7.5 t³) ĵ + (−5 t´¯²) k) m.
(a) What is the velocity as a function of time t?
v(t)=5.81+ (-22.5)+ (103)
(10t 3)
(b) What is the acceleration as a function of time 't'?
a(t)=(5.8
i+ (−45t)✔✔j+ (−30t¯4)
(c) What is the particle's velocity at t = 1.6 s?
(t=1.6 s)=(9.28
i+-57.6
(d) What is its speed at t = 1.1 s and t = 2.9 s?
|v(t=1.1 s) =
m
S
ES
m
k)
|v(t=2.9 s)| =
(e) What is the average velocity between t = 1.1 s and t = 2.9 s?
V=(11.6
i+
✓j+
m
s²
✔j+2.44141
k)
m
S
m
S
Transcribed Image Text:1. The position of a particle for t > 0 is given by 7(t) = ((2.9t²) Î + (−7.5 t³) ĵ + (−5 t´¯²) k) m. (a) What is the velocity as a function of time t? v(t)=5.81+ (-22.5)+ (103) (10t 3) (b) What is the acceleration as a function of time 't'? a(t)=(5.8 i+ (−45t)✔✔j+ (−30t¯4) (c) What is the particle's velocity at t = 1.6 s? (t=1.6 s)=(9.28 i+-57.6 (d) What is its speed at t = 1.1 s and t = 2.9 s? |v(t=1.1 s) = m S ES m k) |v(t=2.9 s)| = (e) What is the average velocity between t = 1.1 s and t = 2.9 s? V=(11.6 i+ ✓j+ m s² ✔j+2.44141 k) m S m S
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