A proton moves in a horizontal line according to the 4t³6t+3 t≥ 0, where t s (t) = function is measured in seconds, and S is measured in inches. Answer the following questions labeling your answers with proper units, if appropriate. a. Find the velocity of the proton at time t. b. Find the acceleration of the proton at time t. c. At what time t is the proton moving at a rate of 6 inch/s?

Physics for Scientists and Engineers
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Chapter38: Relativity
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A proton moves in a horizontal line according to the
function s (t) = 4t³ – 6t + 3 t ≥ 0, where t
9
is measured in seconds, and S is measured in inches.
Answer the following questions labeling your
answers with proper units, if appropriate.
a. Find the velocity of the proton at time t.
b. Find the acceleration of the proton at time t.
c. At what time t is the proton moving at a rate of 6
inch/s?
d. At what time t is the proton at rest? You may give
your answer either in exact form or rounded to 4
decimal places.
Transcribed Image Text:A proton moves in a horizontal line according to the function s (t) = 4t³ – 6t + 3 t ≥ 0, where t 9 is measured in seconds, and S is measured in inches. Answer the following questions labeling your answers with proper units, if appropriate. a. Find the velocity of the proton at time t. b. Find the acceleration of the proton at time t. c. At what time t is the proton moving at a rate of 6 inch/s? d. At what time t is the proton at rest? You may give your answer either in exact form or rounded to 4 decimal places.
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