A particle moves along the x-axis according to x(t) = 42t – 6t2 m. (Round all answers to at least the nearest integer.) (a) What is the instantaneous velocity (in m/s) at t = 2 s and t = 5 s? (Indicate the direction with the sign of your answer.) v(2 s) = m/s v(5 s) = m/s (b) What is the instantaneous speed (in m/s) at these times? s(2 s) m/s s(5 s) m/s (c) What is the average velocity (in m/s) between t = 2 s and t = 5 s? (Indicate the direction with the sign of your answer.) m/s

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
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A particle moves along the x-axis according to x(t) = 42t – 6t2 m. (Round all answers to at least the nearest integer.)
(a) What is the instantaneous velocity (in m/s) at t = 2 s and t = 5 s? (Indicate the direction with the sign of your answer.)
v(2 s) =
m/s
v(5 s) =
m/s
(b) What is the instantaneous speed (in m/s) at these times?
s(2 s)
m/s
s(5 s)
m/s
(c) What is the average velocity (in m/s) between t = 2 s and t = 5 s? (Indicate the direction with the sign of your answer.)
m/s
Transcribed Image Text:A particle moves along the x-axis according to x(t) = 42t – 6t2 m. (Round all answers to at least the nearest integer.) (a) What is the instantaneous velocity (in m/s) at t = 2 s and t = 5 s? (Indicate the direction with the sign of your answer.) v(2 s) = m/s v(5 s) = m/s (b) What is the instantaneous speed (in m/s) at these times? s(2 s) m/s s(5 s) m/s (c) What is the average velocity (in m/s) between t = 2 s and t = 5 s? (Indicate the direction with the sign of your answer.) m/s
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