The position of a particle for t > 0 is given by r(t) = (2.ot²i – 4.0t³j – 3.0t-2k) m.

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Author:Raymond A. Serway, Chris Vuille
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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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part e is what im most confused about finding 

(e)What is the average velocity between t = 1.0 s and t = 2.0 s (in m/s)? (Express your answer in vector form.)

The position of a particle for t > 0 is given by r(t) = (2.0t2î – 4.0t³j – 3.0t-2k)
m.
(a) What is the velocity as a function of time? (Express your answer in vector form. Use the following as necessary: t. Assume t is in seconds and v is in m/s. Do not include units in your answer.)
v(t) =
(b) What is the acceleration as a function of time? (Express your answer in vector form. Use the following as necessary: t. Assume t is in seconds and a is in m/s2. Do not include units in your
answer.)
a(t) =
(c) What is the particle's velocity at t = 2.0 s (in m/s)? (Express your answer in vector form.)
v(2.0 s) =
m/s
(d) What is its speed att = 1.0 s and t
3.0 s (in m/s)?
v(1.0 s)
m/s
v(3.0 s)
m/s
(e) What is the average velocity between t = 1.0 s and t = 2.0 s (in m/s)? (Express your answer in vector form.)
m/s
avg
Transcribed Image Text:The position of a particle for t > 0 is given by r(t) = (2.0t2î – 4.0t³j – 3.0t-2k) m. (a) What is the velocity as a function of time? (Express your answer in vector form. Use the following as necessary: t. Assume t is in seconds and v is in m/s. Do not include units in your answer.) v(t) = (b) What is the acceleration as a function of time? (Express your answer in vector form. Use the following as necessary: t. Assume t is in seconds and a is in m/s2. Do not include units in your answer.) a(t) = (c) What is the particle's velocity at t = 2.0 s (in m/s)? (Express your answer in vector form.) v(2.0 s) = m/s (d) What is its speed att = 1.0 s and t 3.0 s (in m/s)? v(1.0 s) m/s v(3.0 s) m/s (e) What is the average velocity between t = 1.0 s and t = 2.0 s (in m/s)? (Express your answer in vector form.) m/s avg
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